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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-6y=\frac{313}{130}\\-x=-6y+\frac{-593}{130}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-3y=\frac{-826}{33}\\-4x=y+\frac{-862}{33}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{301}{20}-2x\\2x+y=\frac{217}{40}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-2y=\frac{10}{3}\\-5x+5y=\frac{-145}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-5}{2}-2x\\3x-y=\frac{-97}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+2y=\frac{-2}{11}\\x-5y=\frac{-182}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-2y=\frac{85}{7}\\5x+y=\frac{-10}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-5y=\frac{-65}{153}\\6x=-y+\frac{-194}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{279}{14}\\x-5y=\frac{-111}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-3y=\frac{-1367}{91}\\-5x+y=\frac{-431}{91}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{79}{4}\\6x=-y+\frac{-127}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-11}{12}-x\\-4x-5y=\frac{-7}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-6y=\frac{313}{130}\\-x=-6y+\frac{-593}{130}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},\frac{-17}{20})\}\)
2. \(\left\{\begin{matrix}-4x-3y=\frac{-826}{33}\\-4x=y+\frac{-862}{33}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{-6}{11})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{301}{20}-2x\\2x+y=\frac{217}{40}\end{matrix}\right.\qquad V=\{(\frac{17}{5},\frac{-11}{8})\}\)
4. \(\left\{\begin{matrix}x-2y=\frac{10}{3}\\-5x+5y=\frac{-145}{12}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-11}{12})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-5}{2}-2x\\3x-y=\frac{-97}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-11}{20})\}\)
6. \(\left\{\begin{matrix}4x+2y=\frac{-2}{11}\\x-5y=\frac{-182}{11}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},3)\}\)
7. \(\left\{\begin{matrix}3x-2y=\frac{85}{7}\\5x+y=\frac{-10}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{7},-5)\}\)
8. \(\left\{\begin{matrix}5x-5y=\frac{-65}{153}\\6x=-y+\frac{-194}{51}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{-8}{17})\}\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{279}{14}\\x-5y=\frac{-111}{14}\end{matrix}\right.\qquad V=\{(-4,\frac{11}{14})\}\)
10. \(\left\{\begin{matrix}-5x-3y=\frac{-1367}{91}\\-5x+y=\frac{-431}{91}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{18}{7})\}\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{79}{4}\\6x=-y+\frac{-127}{4}\end{matrix}\right.\qquad V=\{(-5,\frac{-7}{4})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-11}{12}-x\\-4x-5y=\frac{-7}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{1}{4})\}\)