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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{110}{13}+2x\\-3x+4y=\frac{407}{26}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+6y=\frac{-154}{19}\\x-2y=\frac{244}{57}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=-9+3x\\-x-5y=\frac{-5}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-5y=\frac{-137}{20}\\6x=4y+\frac{-13}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{329}{8}-4x\\4x-6y=\frac{187}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-5y=\frac{-667}{247}\\-x=-2y+\frac{311}{247}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+4y=\frac{71}{9}\\x=-3y+\frac{-23}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=-2+6x\\-5x+y=-6\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+6y=\frac{-38}{11}\\6x+6y=\frac{-8}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-888}{133}-6x\\4x-y=\frac{-193}{133}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-4y=-3\\x-6y=\frac{-37}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-4y=\frac{-11}{3}\\5x-2y=\frac{-77}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{110}{13}+2x\\-3x+4y=\frac{407}{26}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{7}{13})\}\)
2. \(\left\{\begin{matrix}2x+6y=\frac{-154}{19}\\x-2y=\frac{244}{57}\end{matrix}\right.\qquad V=\{(\frac{18}{19},\frac{-5}{3})\}\)
3. \(\left\{\begin{matrix}-3y=-9+3x\\-x-5y=\frac{-5}{3}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{-1}{3})\}\)
4. \(\left\{\begin{matrix}-x-5y=\frac{-137}{20}\\6x=4y+\frac{-13}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},\frac{7}{5})\}\)
5. \(\left\{\begin{matrix}-y=\frac{329}{8}-4x\\4x-6y=\frac{187}{4}\end{matrix}\right.\qquad V=\{(10,\frac{-9}{8})\}\)
6. \(\left\{\begin{matrix}3x-5y=\frac{-667}{247}\\-x=-2y+\frac{311}{247}\end{matrix}\right.\qquad V=\{(\frac{17}{19},\frac{14}{13})\}\)
7. \(\left\{\begin{matrix}-3x+4y=\frac{71}{9}\\x=-3y+\frac{-23}{6}\end{matrix}\right.\qquad V=\{(-3,\frac{-5}{18})\}\)
8. \(\left\{\begin{matrix}-4y=-2+6x\\-5x+y=-6\end{matrix}\right.\qquad V=\{(1,-1)\}\)
9. \(\left\{\begin{matrix}x+6y=\frac{-38}{11}\\6x+6y=\frac{-8}{11}\end{matrix}\right.\qquad V=\{(\frac{6}{11},\frac{-2}{3})\}\)
10. \(\left\{\begin{matrix}2y=\frac{-888}{133}-6x\\4x-y=\frac{-193}{133}\end{matrix}\right.\qquad V=\{(\frac{-13}{19},\frac{-9}{7})\}\)
11. \(\left\{\begin{matrix}6x-4y=-3\\x-6y=\frac{-37}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{3}{5})\}\)
12. \(\left\{\begin{matrix}-x-4y=\frac{-11}{3}\\5x-2y=\frac{-77}{6}\end{matrix}\right.\qquad V=\{(-2,\frac{17}{12})\}\)