miniaufgabe.js
d3.min.js
function-plot.js
==== 5. September 2022 bis 9. September 2022 ====
=== Dienstag 6. September 2022 ===
Prüfung. Keine Miniaufgabe.
=== Donnerstag 8. September 2022 ===
Lösen Sie die Gleichung nach $x$ auf.miniAufgabe("#exolinGleich","#sollinGleich",
[["$$-\\frac{6}{7}x = -\\frac{10}{3}+\\frac{4}{7}x$$", "\\begin{align*}\n-\\frac{6}{7}x = & -\\frac{10}{3}+\\frac{4}{7}x & & | -\\frac{4}{7}x\\\\\n-\\frac{10}{7}x = & -\\frac{10}{3} & & | : -\\frac{10}{7}\\\\\nx = & \\frac{7}{3}\n\\end{align*}"], ["$$-\\frac{5}{11}x = \\frac{7}{3}+\\frac{16}{11}x$$", "\\begin{align*}\n-\\frac{5}{11}x = & \\frac{7}{3}+\\frac{16}{11}x & & | -\\frac{16}{11}x\\\\\n-\\frac{21}{11}x = & \\frac{7}{3} & & | : -\\frac{21}{11}\\\\\nx = & -\\frac{11}{9}\n\\end{align*}"], ["$$\\frac{3}{5}x = -\\frac{3}{2}-\\frac{3}{5}x$$", "\\begin{align*}\n\\frac{3}{5}x = & -\\frac{3}{2}-\\frac{3}{5}x & & | +\\frac{3}{5}x\\\\\n\\frac{6}{5}x = & -\\frac{3}{2} & & | : \\frac{6}{5}\\\\\nx = & -\\frac{5}{4}\n\\end{align*}"], ["$$-\\frac{7}{3}x = -\\frac{3}{2}+\\frac{1}{6}x$$", "\\begin{align*}\n-\\frac{7}{3}x = & -\\frac{3}{2}+\\frac{1}{6}x & & | -\\frac{1}{6}x\\\\\n-\\frac{5}{2}x = & -\\frac{3}{2} & & | : -\\frac{5}{2}\\\\\nx = & \\frac{3}{5}\n\\end{align*}"], ["$$-\\frac{5}{7}x = -\\frac{4}{7}-\\frac{1}{2}x$$", "\\begin{align*}\n-\\frac{5}{7}x = & -\\frac{4}{7}-\\frac{1}{2}x & & | +\\frac{1}{2}x\\\\\n-\\frac{3}{14}x = & -\\frac{4}{7} & & | : -\\frac{3}{14}\\\\\nx = & \\frac{8}{3}\n\\end{align*}"], ["$$\\frac{5}{3}x = \\frac{2}{3}+\\frac{17}{15}x$$", "\\begin{align*}\n\\frac{5}{3}x = & \\frac{2}{3}+\\frac{17}{15}x & & | -\\frac{17}{15}x\\\\\n\\frac{8}{15}x = & \\frac{2}{3} & & | : \\frac{8}{15}\\\\\nx = & \\frac{5}{4}\n\\end{align*}"], ["$$-\\frac{15}{8}x = \\frac{5}{3}-\\frac{15}{16}x$$", "\\begin{align*}\n-\\frac{15}{8}x = & \\frac{5}{3}-\\frac{15}{16}x & & | +\\frac{15}{16}x\\\\\n-\\frac{15}{16}x = & \\frac{5}{3} & & | : -\\frac{15}{16}\\\\\nx = & -\\frac{16}{9}\n\\end{align*}"], ["$$-\\frac{10}{11}x = \\frac{5}{3}+\\frac{5}{11}x$$", "\\begin{align*}\n-\\frac{10}{11}x = & \\frac{5}{3}+\\frac{5}{11}x & & | -\\frac{5}{11}x\\\\\n-\\frac{15}{11}x = & \\frac{5}{3} & & | : -\\frac{15}{11}\\\\\nx = & -\\frac{11}{9}\n\\end{align*}"], ["$$\\frac{5}{6}x = \\frac{5}{2}-\\frac{11}{3}x$$", "\\begin{align*}\n\\frac{5}{6}x = & \\frac{5}{2}-\\frac{11}{3}x & & | +\\frac{11}{3}x\\\\\n\\frac{9}{2}x = & \\frac{5}{2} & & | : \\frac{9}{2}\\\\\nx = & \\frac{5}{9}\n\\end{align*}"], ["$$\\frac{7}{5}x = -\\frac{1}{2}+\\frac{19}{15}x$$", "\\begin{align*}\n\\frac{7}{5}x = & -\\frac{1}{2}+\\frac{19}{15}x & & | -\\frac{19}{15}x\\\\\n\\frac{2}{15}x = & -\\frac{1}{2} & & | : \\frac{2}{15}\\\\\nx = & -\\frac{15}{4}\n\\end{align*}"]],
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Hinweis: Die Lösungen sind automatisch generiert. In vielen Fällen könnte es sich lohnen, die Gleichung erst mit dem gemeinsamen Nenner der Koeffizienten von $x$ zu multiplizieren.