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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+6y=\frac{69}{4}\\-6x=-2y+10\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{-1417}{95}\\3x=-y+\frac{944}{95}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-2y=\frac{1066}{171}\\-x=y+\frac{-227}{171}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-6y=-36\\x=y+\frac{-22}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+6y=\frac{-29}{5}\\-2x=y+\frac{7}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+4y=\frac{167}{4}\\-5x=y+\frac{-115}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-194}{55}+4x\\6x+y=\frac{431}{55}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-y=\frac{-432}{77}\\4x=2y+\frac{390}{77}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{-301}{10}+3x\\6x-y=\frac{76}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-428}{65}-6x\\-x+y=\frac{-57}{65}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-6y=\frac{-53}{3}\\-x=-2y+\frac{-1}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=108+6x\\-x+6y=8\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+6y=\frac{69}{4}\\-6x=-2y+10\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{11}{4})\}\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{-1417}{95}\\3x=-y+\frac{944}{95}\end{matrix}\right.\qquad V=\{(\frac{17}{5},\frac{-5}{19})\}\)
3. \(\left\{\begin{matrix}2x-2y=\frac{1066}{171}\\-x=y+\frac{-227}{171}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{-17}{19})\}\)
4. \(\left\{\begin{matrix}5x-6y=-36\\x=y+\frac{-22}{3}\end{matrix}\right.\qquad V=\{(-8,\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}4x+6y=\frac{-29}{5}\\-2x=y+\frac{7}{30}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{-4}{3})\}\)
6. \(\left\{\begin{matrix}2x+4y=\frac{167}{4}\\-5x=y+\frac{-115}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{8},10)\}\)
7. \(\left\{\begin{matrix}2y=\frac{-194}{55}+4x\\6x+y=\frac{431}{55}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{7}{11})\}\)
8. \(\left\{\begin{matrix}-4x-y=\frac{-432}{77}\\4x=2y+\frac{390}{77}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{2}{11})\}\)
9. \(\left\{\begin{matrix}5y=\frac{-301}{10}+3x\\6x-y=\frac{76}{5}\end{matrix}\right.\qquad V=\{(\frac{17}{10},-5)\}\)
10. \(\left\{\begin{matrix}5y=\frac{-428}{65}-6x\\-x+y=\frac{-57}{65}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-14}{13})\}\)
11. \(\left\{\begin{matrix}-5x-6y=\frac{-53}{3}\\-x=-2y+\frac{-1}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{3},1)\}\)
12. \(\left\{\begin{matrix}6y=108+6x\\-x+6y=8\end{matrix}\right.\qquad V=\{(-20,-2)\}\)