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n_2",[583,1162,1164,1219],{"className":1163,"ariaHidden":613},[612],[583,1165,1167,1170,1210,1213,1216],{"className":1166},[617],[583,1168],{"className":1169,"style":955},[621],[583,1171,1173,1176],{"className":1172},[626],[583,1174,1147],{"className":1175},[626,627],[583,1177,1179],{"className":1178},[849],[583,1180,1182,1202],{"className":1181},[853,854],[583,1183,1185,1199],{"className":1184},[858],[583,1186,1188],{"className":1187,"style":863},[862],[583,1189,1190,1193],{"style":866},[583,1191],{"className":1192,"style":871},[870],[583,1194,1196],{"className":1195},[875,876,877,878],[583,1197,814],{"className":1198},[626,878],[583,1200,886],{"className":1201},[885],[583,1203,1205],{"className":1204},[858],[583,1206,1208],{"className":1207,"style":893},[862],[583,1209],{},[583,1211],{"className":1212,"style":900},[899],[583,1214,945],{"className":1215},[904],[583,1217],{"className":1218,"style":900},[899],[583,1220,1222,1225],{"className":1221},[617],[583,1223],{"className":1224,"style":955},[621],[583,1226,1228,1231],{"className":1227},[626],[583,1229,1147],{"className":1230},[626,627],[583,1232,1234],{"className":1233},[849],[583,1235,1237,1257],{"className":1236},[853,854],[583,1238,1240,1254],{"className":1239},[858],[583,1241,1243],{"className":1242,"style":863},[862],[583,1244,1245,1248],{"style":866},[583,1246],{"className":1247,"style":871},[870],[583,1249,1251],{"className":1250},[875,876,877,878],[583,1252,826],{"className":1253},[626,878],[583,1255,886],{"className":1256},[885],[583,1258,1260],{"className":1259},[858],[583,1261,1263],{"className":1262,"style":893},[862],[583,1264],{}," ist.",[559,1267,1269],{"id":1268},"beispiele","Beispiele",[583,1271,1274],{"className":1272},[1273],"katex-display",[583,1275,1277,1366],{"className":1276},[586],[583,1278,1280],{"className":1279},[590],[592,1281,1283],{"xmlns":594,"display":1282},"block",[596,1284,1285,1363],{},[1286,1287,1291,1330],"mtable",{"rowspacing":1288,"columnalign":1289,"columnspacing":1290},"0.25em","right left","0em",[1292,1293,1294,1309],"mtr",{},[1295,1296,1297],"mtd",{},[1298,1299,1301],"mstyle",{"scriptlevel":1300,"displaystyle":613},"0",[599,1302,1303,1307],{},[1304,1305,1306],"mtext",{},"I:  ",[602,1308,604],{},[1295,1310,1311],{},[1298,1312,1313],{"scriptlevel":1300,"displaystyle":613},[599,1314,1315,1317,1319,1322,1324,1327],{},[599,1316],{},[816,1318,945],{},[812,1320,1321],{},"3",[602,1323,647],{},[816,1325,1326],{},"−",[812,1328,1329],{},"4",[1292,1331,1332,1343],{},[1295,1333,1334],{},[1298,1335,1336],{"scriptlevel":1300,"displaystyle":613},[599,1337,1338,1341],{},[1304,1339,1340],{},"II:  ",[602,1342,604],{},[1295,1344,1345],{},[1298,1346,1347],{"scriptlevel":1300,"displaystyle":613},[599,1348,1349,1351,1353,1355,1357,1360],{},[599,1350],{},[816,1352,945],{},[816,1354,1326],{},[602,1356,647],{},[816,1358,1359],{},"+",[812,1361,1362],{},"8",[606,1364,1365],{"encoding":608},"\\begin{aligned} \\text{I:}\\ \\ y &= 3x - 4 \\\\ \\text{II:}\\ \\ y &= -x + 8 \\end{aligned}",[583,1367,1369],{"className":1368,"ariaHidden":613},[612],[583,1370,1372,1376],{"className":1371},[617],[583,1373],{"className":1374,"style":1375},[621],"height:2.7em;vertical-align:-1.1em;",[583,1377,1379],{"className":1378},[626],[583,1380,1382,1461],{"className":1381},[1286],[583,1383,1386],{"className":1384},[1385],"col-align-r",[583,1387,1389,1452],{"className":1388},[853,854],[583,1390,1392,1449],{"className":1391},[858],[583,1393,1396,1424],{"className":1394,"style":1395},[862],"height:1.6em;",[583,1397,1399,1403],{"style":1398},"top:-3.76em;",[583,1400],{"className":1401,"style":1402},[870],"height:3em;",[583,1404,1406,1414,1418,1421],{"className":1405},[626],[583,1407,1410],{"className":1408},[626,1409],"text",[583,1411,1413],{"className":1412},[626],"I:",[583,1415,1417],{"className":1416},[899]," ",[583,1419,1417],{"className":1420},[899],[583,1422,604],{"className":1423,"style":628},[626,627],[583,1425,1427,1430],{"style":1426},"top:-2.26em;",[583,1428],{"className":1429,"style":1402},[870],[583,1431,1433,1440,1443,1446],{"className":1432},[626],[583,1434,1436],{"className":1435},[626,1409],[583,1437,1439],{"className":1438},[626],"II:",[583,1441,1417],{"className":1442},[899],[583,1444,1417],{"className":1445},[899],[583,1447,604],{"className":1448,"style":628},[626,627],[583,1450,886],{"className":1451},[885],[583,1453,1455],{"className":1454},[858],[583,1456,1459],{"className":1457,"style":1458},[862],"height:1.1em;",[583,1460],{},[583,1462,1465],{"className":1463},[1464],"col-align-l",[583,1466,1468,1555],{"className":1467},[853,854],[583,1469,1471,1552],{"className":1470},[858],[583,1472,1474,1514],{"className":1473,"style":1395},[862],[583,1475,1476,1479],{"style":1398},[583,1477],{"className":1478,"style":1402},[870],[583,1480,1482,1485,1488,1491,1494,1497,1500,1504,1508,1511],{"className":1481},[626],[583,1483],{"className":1484},[626],[583,1486],{"className":1487,"style":900},[899],[583,1489,945],{"className":1490},[904],[583,1492],{"className":1493,"style":900},[899],[583,1495,1321],{"className":1496},[626],[583,1498,647],{"className":1499},[626,627],[583,1501],{"className":1502,"style":1503},[899],"margin-right:0.2222em;",[583,1505,1326],{"className":1506},[1507],"mbin",[583,1509],{"className":1510,"style":1503},[899],[583,1512,1329],{"className":1513},[626],[583,1515,1516,1519],{"style":1426},[583,1517],{"className":1518,"style":1402},[870],[583,1520,1522,1525,1528,1531,1534,1537,1540,1543,1546,1549],{"className":1521},[626],[583,1523],{"className":1524},[626],[583,1526],{"className":1527,"style":900},[899],[583,1529,945],{"className":1530},[904],[583,1532],{"className":1533,"style":900},[899],[583,1535,1326],{"className":1536},[626],[583,1538,647],{"className":1539},[626,627],[583,1541],{"className":1542,"style":1503},[899],[583,1544,1359],{"className":1545},[1507],[583,1547],{"className":1548,"style":1503},[899],[583,1550,1362],{"className":1551},[626],[583,1553,886],{"className":1554},[885],[583,1556,1558],{"className":1557},[858],[583,1559,1561],{"className":1560,"style":1458},[862],[583,1562],{},[564,1564,1565],{},"Gleichsetzen:",[583,1567,1569],{"className":1568},[1273],[583,1570,1572,1631],{"className":1571},[586],[583,1573,1575],{"className":1574},[590],[592,1576,1577],{"xmlns":594,"display":1282},[596,1578,1579,1628],{},[599,1580,1581,1583,1585,1587,1589,1591,1593,1595,1597,1599,1602,1605,1607,1609,1611,1613,1616,1618,1620,1622,1624,1626],{},[812,1582,1321],{},[602,1584,647],{},[816,1586,1326],{},[812,1588,1329],{},[816,1590,945],{},[816,1592,1326],{},[602,1594,647],{},[816,1596,1359],{},[812,1598,1362],{},[1304,1600,1601],{},"  ",[816,1603,1604],{},"⇒",[1304,1606,1601],{},[812,1608,1329],{},[602,1610,647],{},[816,1612,945],{},[812,1614,1615],{},"12",[1304,1617,1601],{},[816,1619,1604],{},[1304,1621,1601],{},[602,1623,647],{},[816,1625,945],{},[812,1627,1321],{},[606,1629,1630],{"encoding":608},"3x - 4 = -x + 8 \\;\\Rightarrow\\; 4x = 12 \\;\\Rightarrow\\; x = 3",[583,1632,1634,1656,1675,1697,1721,1742,1766,1784],{"className":1633,"ariaHidden":613},[612],[583,1635,1637,1641,1644,1647,1650,1653],{"className":1636},[617],[583,1638],{"className":1639,"style":1640},[621],"height:0.7278em;vertical-align:-0.0833em;",[583,1642,1321],{"className":1643},[626],[583,1645,647],{"className":1646},[626,627],[583,1648],{"className":1649,"style":1503},[899],[583,1651,1326],{"className":1652},[1507],[583,1654],{"className":1655,"style":1503},[899],[583,1657,1659,1663,1666,1669,1672],{"className":1658},[617],[583,1660],{"className":1661,"style":1662},[621],"height:0.6444em;",[583,1664,1329],{"className":1665},[626],[583,1667],{"className":1668,"style":900},[899],[583,1670,945],{"className":1671},[904],[583,1673],{"className":1674,"style":900},[899],[583,1676,1678,1682,1685,1688,1691,1694],{"className":1677},[617],[583,1679],{"className":1680,"style":1681},[621],"height:0.6667em;vertical-align:-0.0833em;",[583,1683,1326],{"className":1684},[626],[583,1686,647],{"className":1687},[626,627],[583,1689],{"className":1690,"style":1503},[899],[583,1692,1359],{"className":1693},[1507],[583,1695],{"className":1696,"style":1503},[899],[583,1698,1700,1703,1706,1709,1712,1715,1718],{"className":1699},[617],[583,1701],{"className":1702,"style":1662},[621],[583,1704,1362],{"className":1705},[626],[583,1707],{"className":1708,"style":900},[899],[583,1710],{"className":1711,"style":900},[899],[583,1713,1604],{"className":1714},[904],[583,1716],{"className":1717,"style":900},[899],[583,1719],{"className":1720,"style":900},[899],[583,1722,1724,1727,1730,1733,1736,1739],{"className":1723},[617],[583,1725],{"className":1726,"style":1662},[621],[583,1728,1329],{"className":1729},[626],[583,1731,647],{"className":1732},[626,627],[583,1734],{"className":1735,"style":900},[899],[583,1737,945],{"className":1738},[904],[583,1740],{"className":1741,"style":900},[899],[583,1743,1745,1748,1751,1754,1757,1760,1763],{"className":1744},[617],[583,1746],{"className":1747,"style":1662},[621],[583,1749,1615],{"className":1750},[626],[583,1752],{"className":1753,"style":900},[899],[583,1755],{"className":1756,"style":900},[899],[583,1758,1604],{"className":1759},[904],[583,1761],{"className":1762,"style":900},[899],[583,1764],{"className":1765,"style":900},[899],[583,1767,1769,1772,1775,1778,1781],{"className":1768},[617],[583,1770],{"className":1771,"style":659},[621],[583,1773,647],{"className":1774},[626,627],[583,1776],{"className":1777,"style":900},[899],[583,1779,945],{"className":1780},[904],[583,1782],{"className":1783,"style":900},[899],[583,1785,1787,1790],{"className":1786},[617],[583,1788],{"className":1789,"style":1662},[621],[583,1791,1321],{"className":1792},[626],[564,1794,1795,1796,1915,1916,1994,1995,629],{},"Einsetzen in I: ",[583,1797,1799,1831],{"className":1798},[586],[583,1800,1802],{"className":1801},[590],[592,1803,1804],{"xmlns":594},[596,1805,1806,1828],{},[599,1807,1808,1810,1812,1814,1817,1819,1821,1823,1825],{},[602,1809,604],{},[816,1811,945],{},[812,1813,1321],{},[816,1815,1816],{},"⋅",[812,1818,1321],{},[816,1820,1326],{},[812,1822,1329],{},[816,1824,945],{},[812,1826,1827],{},"5",[606,1829,1830],{"encoding":608},"y = 3 \\cdot 3 - 4 = 5",[583,1832,1834,1852,1870,1888,1906],{"className":1833,"ariaHidden":613},[612],[583,1835,1837,1840,1843,1846,1849],{"className":1836},[617],[583,1838],{"className":1839,"style":622},[621],[583,1841,604],{"className":1842,"style":628},[626,627],[583,1844],{"className":1845,"style":900},[899],[583,1847,945],{"className":1848},[904],[583,1850],{"className":1851,"style":900},[899],[583,1853,1855,1858,1861,1864,1867],{"className":1854},[617],[583,1856],{"className":1857,"style":1662},[621],[583,1859,1321],{"className":1860},[626],[583,1862],{"className":1863,"style":1503},[899],[583,1865,1816],{"className":1866},[1507],[583,1868],{"className":1869,"style":1503},[899],[583,1871,1873,1876,1879,1882,1885],{"className":1872},[617],[583,1874],{"className":1875,"style":1640},[621],[583,1877,1321],{"className":1878},[626],[583,1880],{"className":1881,"style":1503},[899],[583,1883,1326],{"className":1884},[1507],[583,1886],{"className":1887,"style":1503},[899],[583,1889,1891,1894,1897,1900,1903],{"className":1890},[617],[583,1892],{"className":1893,"style":1662},[621],[583,1895,1329],{"className":1896},[626],[583,1898],{"className":1899,"style":900},[899],[583,1901,945],{"className":1902},[904],[583,1904],{"className":1905,"style":900},[899],[583,1907,1909,1912],{"className":1908},[617],[583,1910],{"className":1911,"style":1662},[621],[583,1913,1827],{"className":1914},[626],". Probe in II: ",[583,1917,1919,1943],{"className":1918},[586],[583,1920,1922],{"className":1921},[590],[592,1923,1924],{"xmlns":594},[596,1925,1926,1940],{},[599,1927,1928,1930,1932,1934,1936,1938],{},[816,1929,1326],{},[812,1931,1321],{},[816,1933,1359],{},[812,1935,1362],{},[816,1937,945],{},[812,1939,1827],{},[606,1941,1942],{"encoding":608},"-3 + 8 = 5",[583,1944,1946,1967,1985],{"className":1945,"ariaHidden":613},[612],[583,1947,1949,1952,1955,1958,1961,1964],{"className":1948},[617],[583,1950],{"className":1951,"style":1640},[621],[583,1953,1326],{"className":1954},[626],[583,1956,1321],{"className":1957},[626],[583,1959],{"className":1960,"style":1503},[899],[583,1962,1359],{"className":1963},[1507],[583,1965],{"className":1966,"style":1503},[899],[583,1968,1970,1973,1976,1979,1982],{"className":1969},[617],[583,1971],{"className":1972,"style":1662},[621],[583,1974,1362],{"className":1975},[626],[583,1977],{"className":1978,"style":900},[899],[583,1980,945],{"className":1981},[904],[583,1983],{"className":1984,"style":900},[899],[583,1986,1988,1991],{"className":1987},[617],[583,1989],{"className":1990,"style":1662},[621],[583,1992,1827],{"className":1993},[626],". Die Lösung ist ",[583,1996,1998,2024],{"className":1997},[586],[583,1999,2001],{"className":2000},[590],[592,2002,2003],{"xmlns":594},[596,2004,2005,2021],{},[599,2006,2007,2011,2013,2016,2018],{},[816,2008,2010],{"stretchy":2009},"false","(",[812,2012,1321],{},[816,2014,2015],{},"∣",[812,2017,1827],{},[816,2019,2020],{"stretchy":2009},")",[606,2022,2023],{"encoding":608},"(3 \\mid 5)",[583,2025,2027,2050],{"className":2026,"ariaHidden":613},[612],[583,2028,2030,2034,2038,2041,2044,2047],{"className":2029},[617],[583,2031],{"className":2032,"style":2033},[621],"height:1em;vertical-align:-0.25em;",[583,2035,2010],{"className":2036},[2037],"mopen",[583,2039,1321],{"className":2040},[626],[583,2042],{"className":2043,"style":900},[899],[583,2045,2015],{"className":2046},[904],[583,2048],{"className":2049,"style":900},[899],[583,2051,2053,2056,2059],{"className":2052},[617],[583,2054],{"className":2055,"style":2033},[621],[583,2057,1827],{"className":2058},[626],[583,2060,2020],{"className":2061},[2062],"mclose",[564,2064,2065,2066,2094,2095,2138,2139,2179,2180,2210],{},"Tarifvergleich: Tarif A kostet ",[583,2067,2069,2082],{"className":2068},[586],[583,2070,2072],{"className":2071},[590],[592,2073,2074],{"xmlns":594},[596,2075,2076,2080],{},[599,2077,2078],{},[812,2079,1827],{},[606,2081,1827],{"encoding":608},[583,2083,2085],{"className":2084,"ariaHidden":613},[612],[583,2086,2088,2091],{"className":2087},[617],[583,2089],{"className":2090,"style":1662},[621],[583,2092,1827],{"className":2093},[626]," € Grundgebühr plus ",[583,2096,2098,2113],{"className":2097},[586],[583,2099,2101],{"className":2100},[590],[592,2102,2103],{"xmlns":594},[596,2104,2105,2110],{},[599,2106,2107],{},[812,2108,2109],{},"0,10",[606,2111,2112],{"encoding":608},"0{,}10",[583,2114,2116],{"className":2115,"ariaHidden":613},[612],[583,2117,2119,2123,2126,2134],{"className":2118},[617],[583,2120],{"className":2121,"style":2122},[621],"height:0.8389em;vertical-align:-0.1944em;",[583,2124,1300],{"className":2125},[626],[583,2127,2129],{"className":2128},[626],[583,2130,2133],{"className":2131},[2132],"mpunct",",",[583,2135,2137],{"className":2136},[626],"10"," € pro Minute, Tarif B ",[583,2140,2142,2157],{"className":2141},[586],[583,2143,2145],{"className":2144},[590],[592,2146,2147],{"xmlns":594},[596,2148,2149,2154],{},[599,2150,2151],{},[812,2152,2153],{},"0,15",[606,2155,2156],{"encoding":608},"0{,}15",[583,2158,2160],{"className":2159,"ariaHidden":613},[612],[583,2161,2163,2166,2169,2175],{"className":2162},[617],[583,2164],{"className":2165,"style":2122},[621],[583,2167,1300],{"className":2168},[626],[583,2170,2172],{"className":2171},[626],[583,2173,2133],{"className":2174},[2132],[583,2176,2178],{"className":2177},[626],"15"," € pro Minute ohne Grundgebühr. Ab wann sind beide gleich teuer? Mit ",[583,2181,2183,2197],{"className":2182},[586],[583,2184,2186],{"className":2185},[590],[592,2187,2188],{"xmlns":594},[596,2189,2190,2195],{},[599,2191,2192],{},[602,2193,2194],{},"t",[606,2196,2194],{"encoding":608},[583,2198,2200],{"className":2199,"ariaHidden":613},[612],[583,2201,2203,2207],{"className":2202},[617],[583,2204],{"className":2205,"style":2206},[621],"height:0.6151em;",[583,2208,2194],{"className":2209},[626,627]," Minuten:",[583,2212,2214],{"className":2213},[1273],[583,2215,2217,2278],{"className":2216},[586],[583,2218,2220],{"className":2219},[590],[592,2221,2222],{"xmlns":594,"display":1282},[596,2223,2224,2275],{},[599,2225,2226,2228,2230,2232,2235,2237,2239,2241,2243,2245,2247,2249,2251,2253,2255,2258,2260,2262,2264,2266,2268,2270,2272],{},[812,2227,1827],{},[816,2229,1359],{},[812,2231,2109],{},[1304,2233,2234],{}," ",[602,2236,2194],{},[816,2238,945],{},[812,2240,2153],{},[1304,2242,2234],{},[602,2244,2194],{},[1304,2246,1601],{},[816,2248,1604],{},[1304,2250,1601],{},[812,2252,1827],{},[816,2254,945],{},[812,2256,2257],{},"0,05",[1304,2259,2234],{},[602,2261,2194],{},[1304,2263,1601],{},[816,2265,1604],{},[1304,2267,1601],{},[602,2269,2194],{},[816,2271,945],{},[812,2273,2274],{},"100",[606,2276,2277],{"encoding":608},"5 + 0{,}10\\,t = 0{,}15\\,t \\;\\Rightarrow\\; 5 = 0{,}05\\,t \\;\\Rightarrow\\; t = 100",[583,2279,2281,2299,2333,2372,2390,2430,2448],{"className":2280,"ariaHidden":613},[612],[583,2282,2284,2287,2290,2293,2296],{"className":2283},[617],[583,2285],{"className":2286,"style":1640},[621],[583,2288,1827],{"className":2289},[626],[583,2291],{"className":2292,"style":1503},[899],[583,2294,1359],{"className":2295},[1507],[583,2297],{"className":2298,"style":1503},[899],[583,2300,2302,2305,2308,2314,2317,2321,2324,2327,2330],{"className":2301},[617],[583,2303],{"className":2304,"style":2122},[621],[583,2306,1300],{"className":2307},[626],[583,2309,2311],{"className":2310},[626],[583,2312,2133],{"className":2313},[2132],[583,2315,2137],{"className":2316},[626],[583,2318],{"className":2319,"style":2320},[899],"margin-right:0.1667em;",[583,2322,2194],{"className":2323},[626,627],[583,2325],{"className":2326,"style":900},[899],[583,2328,945],{"className":2329},[904],[583,2331],{"className":2332,"style":900},[899],[583,2334,2336,2339,2342,2348,2351,2354,2357,2360,2363,2366,2369],{"className":2335},[617],[583,2337],{"className":2338,"style":2122},[621],[583,2340,1300],{"className":2341},[626],[583,2343,2345],{"className":2344},[626],[583,2346,2133],{"className":2347},[2132],[583,2349,2178],{"className":2350},[626],[583,2352],{"className":2353,"style":2320},[899],[583,2355,2194],{"className":2356},[626,627],[583,2358],{"className":2359,"style":900},[899],[583,2361],{"className":2362,"style":900},[899],[583,2364,1604],{"className":2365},[904],[583,2367],{"className":2368,"style":900},[899],[583,2370],{"className":2371,"style":900},[899],[583,2373,2375,2378,2381,2384,2387],{"className":2374},[617],[583,2376],{"className":2377,"style":1662},[621],[583,2379,1827],{"className":2380},[626],[583,2382],{"className":2383,"style":900},[899],[583,2385,945],{"className":2386},[904],[583,2388],{"className":2389,"style":900},[899],[583,2391,2393,2396,2399,2405,2409,2412,2415,2418,2421,2424,2427],{"className":2392},[617],[583,2394],{"className":2395,"style":2122},[621],[583,2397,1300],{"className":2398},[626],[583,2400,2402],{"className":2401},[626],[583,2403,2133],{"className":2404},[2132],[583,2406,2408],{"className":2407},[626],"05",[583,2410],{"className":2411,"style":2320},[899],[583,2413,2194],{"className":2414},[626,627],[583,2416],{"className":2417,"style":900},[899],[583,2419],{"className":2420,"style":900},[899],[583,2422,1604],{"className":2423},[904],[583,2425],{"className":2426,"style":900},[899],[583,2428],{"className":2429,"style":900},[899],[583,2431,2433,2436,2439,2442,2445],{"className":2432},[617],[583,2434],{"className":2435,"style":2206},[621],[583,2437,2194],{"className":2438},[626,627],[583,2440],{"className":2441,"style":900},[899],[583,2443,945],{"className":2444},[904],[583,2446],{"className":2447,"style":900},[899],[583,2449,2451,2454],{"className":2450},[617],[583,2452],{"className":2453,"style":1662},[621],[583,2455,2274],{"className":2456},[626],[564,2458,792,2459,2487,2488,2516],{},[583,2460,2462,2475],{"className":2461},[586],[583,2463,2465],{"className":2464},[590],[592,2466,2467],{"xmlns":594},[596,2468,2469,2473],{},[599,2470,2471],{},[812,2472,2274],{},[606,2474,2274],{"encoding":608},[583,2476,2478],{"className":2477,"ariaHidden":613},[612],[583,2479,2481,2484],{"className":2480},[617],[583,2482],{"className":2483,"style":1662},[621],[583,2485,2274],{"className":2486},[626]," Minuten kosten beide Tarife ",[583,2489,2491,2504],{"className":2490},[586],[583,2492,2494],{"className":2493},[590],[592,2495,2496],{"xmlns":594},[596,2497,2498,2502],{},[599,2499,2500],{},[812,2501,2178],{},[606,2503,2178],{"encoding":608},[583,2505,2507],{"className":2506,"ariaHidden":613},[612],[583,2508,2510,2513],{"className":2509},[617],[583,2511],{"className":2512,"style":1662},[621],[583,2514,2178],{"className":2515},[626]," €. Wer mehr telefoniert, fährt mit Tarif A günstiger.",[559,2518,2520],{"id":2519},"typische-fehler","Typische Fehler",[2522,2523,2524,2834,2943],"ul",{},[579,2525,2526,2527,2632,2633,2733,2734,629],{},"Beim Umstellen das Vorzeichen falsch übertragen: Aus ",[583,2528,2530,2560],{"className":2529},[586],[583,2531,2533],{"className":2532},[590],[592,2534,2535],{"xmlns":594},[596,2536,2537,2557],{},[599,2538,2539,2541,2543,2545,2547,2549,2551,2553,2555],{},[812,2540,1321],{},[602,2542,647],{},[816,2544,1326],{},[812,2546,1329],{},[816,2548,945],{},[816,2550,1326],{},[602,2552,647],{},[816,2554,1359],{},[812,2556,1362],{},[606,2558,2559],{"encoding":608},"3x - 4 = -x + 8",[583,2561,2563,2584,2602,2623],{"className":2562,"ariaHidden":613},[612],[583,2564,2566,2569,2572,2575,2578,2581],{"className":2565},[617],[583,2567],{"className":2568,"style":1640},[621],[583,2570,1321],{"className":2571},[626],[583,2573,647],{"className":2574},[626,627],[583,2576],{"className":2577,"style":1503},[899],[583,2579,1326],{"className":2580},[1507],[583,2582],{"className":2583,"style":1503},[899],[583,2585,2587,2590,2593,2596,2599],{"className":2586},[617],[583,2588],{"className":2589,"style":1662},[621],[583,2591,1329],{"className":2592},[626],[583,2594],{"className":2595,"style":900},[899],[583,2597,945],{"className":2598},[904],[583,2600],{"className":2601,"style":900},[899],[583,2603,2605,2608,2611,2614,2617,2620],{"className":2604},[617],[583,2606],{"className":2607,"style":1681},[621],[583,2609,1326],{"className":2610},[626],[583,2612,647],{"className":2613},[626,627],[583,2615],{"className":2616,"style":1503},[899],[583,2618,1359],{"className":2619},[1507],[583,2621],{"className":2622,"style":1503},[899],[583,2624,2626,2629],{"className":2625},[617],[583,2627],{"className":2628,"style":1662},[621],[583,2630,1362],{"className":2631},[626]," wird ",[583,2634,2636,2664],{"className":2635},[586],[583,2637,2639],{"className":2638},[590],[592,2640,2641],{"xmlns":594},[596,2642,2643,2661],{},[599,2644,2645,2647,2649,2651,2653,2655,2657,2659],{},[812,2646,1321],{},[602,2648,647],{},[816,2650,1359],{},[602,2652,647],{},[816,2654,945],{},[812,2656,1362],{},[816,2658,1359],{},[812,2660,1329],{},[606,2662,2663],{"encoding":608},"3x + x = 8 + 4",[583,2665,2667,2688,2706,2724],{"className":2666,"ariaHidden":613},[612],[583,2668,2670,2673,2676,2679,2682,2685],{"className":2669},[617],[583,2671],{"className":2672,"style":1640},[621],[583,2674,1321],{"className":2675},[626],[583,2677,647],{"className":2678},[626,627],[583,2680],{"className":2681,"style":1503},[899],[583,2683,1359],{"className":2684},[1507],[583,2686],{"className":2687,"style":1503},[899],[583,2689,2691,2694,2697,2700,2703],{"className":2690},[617],[583,2692],{"className":2693,"style":659},[621],[583,2695,647],{"className":2696},[626,627],[583,2698],{"className":2699,"style":900},[899],[583,2701,945],{"className":2702},[904],[583,2704],{"className":2705,"style":900},[899],[583,2707,2709,2712,2715,2718,2721],{"className":2708},[617],[583,2710],{"className":2711,"style":1640},[621],[583,2713,1362],{"className":2714},[626],[583,2716],{"className":2717,"style":1503},[899],[583,2719,1359],{"className":2720},[1507],[583,2722],{"className":2723,"style":1503},[899],[583,2725,2727,2730],{"className":2726},[617],[583,2728],{"className":2729,"style":1662},[621],[583,2731,1329],{"className":2732},[626],", nicht ",[583,2735,2737,2765],{"className":2736},[586],[583,2738,2740],{"className":2739},[590],[592,2741,2742],{"xmlns":594},[596,2743,2744,2762],{},[599,2745,2746,2748,2750,2752,2754,2756,2758,2760],{},[812,2747,1321],{},[602,2749,647],{},[816,2751,1326],{},[602,2753,647],{},[816,2755,945],{},[812,2757,1362],{},[816,2759,1326],{},[812,2761,1329],{},[606,2763,2764],{"encoding":608},"3x - x = 8 - 4",[583,2766,2768,2789,2807,2825],{"className":2767,"ariaHidden":613},[612],[583,2769,2771,2774,2777,2780,2783,2786],{"className":2770},[617],[583,2772],{"className":2773,"style":1640},[621],[583,2775,1321],{"className":2776},[626],[583,2778,647],{"className":2779},[626,627],[583,2781],{"className":2782,"style":1503},[899],[583,2784,1326],{"className":2785},[1507],[583,2787],{"className":2788,"style":1503},[899],[583,2790,2792,2795,2798,2801,2804],{"className":2791},[617],[583,2793],{"className":2794,"style":659},[621],[583,2796,647],{"className":2797},[626,627],[583,2799],{"className":2800,"style":900},[899],[583,2802,945],{"className":2803},[904],[583,2805],{"className":2806,"style":900},[899],[583,2808,2810,2813,2816,2819,2822],{"className":2809},[617],[583,2811],{"className":2812,"style":1640},[621],[583,2814,1362],{"className":2815},[626],[583,2817],{"className":2818,"style":1503},[899],[583,2820,1326],{"className":2821},[1507],[583,2823],{"className":2824,"style":1503},[899],[583,2826,2828,2831],{"className":2827},[617],[583,2829],{"className":2830,"style":1662},[621],[583,2832,1329],{"className":2833},[626],[579,2835,2836,2837,2891,2892,629],{},"Gleichungen gleichsetzen, die nach verschiedenen Variablen aufgelöst sind, z.B. ",[583,2838,2840,2859],{"className":2839},[586],[583,2841,2843],{"className":2842},[590],[592,2844,2845],{"xmlns":594},[596,2846,2847,2856],{},[599,2848,2849,2851,2853],{},[602,2850,604],{},[816,2852,945],{},[816,2854,2855],{},"…",[606,2857,2858],{"encoding":608},"y = \\ldots",[583,2860,2862,2880],{"className":2861,"ariaHidden":613},[612],[583,2863,2865,2868,2871,2874,2877],{"className":2864},[617],[583,2866],{"className":2867,"style":622},[621],[583,2869,604],{"className":2870,"style":628},[626,627],[583,2872],{"className":2873,"style":900},[899],[583,2875,945],{"className":2876},[904],[583,2878],{"className":2879,"style":900},[899],[583,2881,2883,2887],{"className":2882},[617],[583,2884],{"className":2885,"style":2886},[621],"height:0.123em;",[583,2888,2855],{"className":2889},[2890],"minner"," mit ",[583,2893,2895,2913],{"className":2894},[586],[583,2896,2898],{"className":2897},[590],[592,2899,2900],{"xmlns":594},[596,2901,2902,2910],{},[599,2903,2904,2906,2908],{},[602,2905,647],{},[816,2907,945],{},[816,2909,2855],{},[606,2911,2912],{"encoding":608},"x = \\ldots",[583,2914,2916,2934],{"className":2915,"ariaHidden":613},[612],[583,2917,2919,2922,2925,2928,2931],{"className":2918},[617],[583,2920],{"className":2921,"style":659},[621],[583,2923,647],{"className":2924},[626,627],[583,2926],{"className":2927,"style":900},[899],[583,2929,945],{"className":2930},[904],[583,2932],{"className":2933,"style":900},[899],[583,2935,2937,2940],{"className":2936},[617],[583,2938],{"className":2939,"style":2886},[621],[583,2941,2855],{"className":2942},[2890],[579,2944,2945,2946,2974,2975,629],{},"Nur ",[583,2947,2949,2962],{"className":2948},[586],[583,2950,2952],{"className":2951},[590],[592,2953,2954],{"xmlns":594},[596,2955,2956,2960],{},[599,2957,2958],{},[602,2959,647],{},[606,2961,647],{"encoding":608},[583,2963,2965],{"className":2964,"ariaHidden":613},[612],[583,2966,2968,2971],{"className":2967},[617],[583,2969],{"className":2970,"style":659},[621],[583,2972,647],{"className":2973},[626,627]," angeben. Die Lösung ist das Zahlenpaar ",[583,2976,2978,3000],{"className":2977},[586],[583,2979,2981],{"className":2980},[590],[592,2982,2983],{"xmlns":594},[596,2984,2985,2997],{},[599,2986,2987,2989,2991,2993,2995],{},[816,2988,2010],{"stretchy":2009},[602,2990,647],{},[816,2992,2015],{},[602,2994,604],{},[816,2996,2020],{"stretchy":2009},[606,2998,2999],{"encoding":608},"(x \\mid y)",[583,3001,3003,3024],{"className":3002,"ariaHidden":613},[612],[583,3004,3006,3009,3012,3015,3018,3021],{"className":3005},[617],[583,3007],{"className":3008,"style":2033},[621],[583,3010,2010],{"className":3011},[2037],[583,3013,647],{"className":3014},[626,627],[583,3016],{"className":3017,"style":900},[899],[583,3019,2015],{"className":3020},[904],[583,3022],{"className":3023,"style":900},[899],[583,3025,3027,3030,3033],{"className":3026},[617],[583,3028],{"className":3029,"style":2033},[621],[583,3031,604],{"className":3032,"style":628},[626,627],[583,3034,2020],{"className":3035},[2062],{"title":3037,"searchDepth":3038,"depth":3038,"links":3039},"",2,[3040,3041,3042],{"id":561,"depth":3038,"text":562},{"id":1268,"depth":3038,"text":1269},{"id":2519,"depth":3038,"text":2520},[3044,3050,3054,3056,3058,3060,3062,3064],{"lhs":3045,"rhs":3046,"where":3047},"m1*(n2 - n1)\u002F(m1 - m2) + n1","m2*(n2 - n1)\u002F(m1 - m2) + 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