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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-4y=\frac{-119}{20}\\-5x=y+\frac{-231}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=-19-6x\\x-4y=\frac{92}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-6y=\frac{33}{40}\\x=-4y+\frac{-53}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-y=\frac{-1723}{165}\\5x=-4y+\frac{-1808}{165}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-6y=\frac{44}{5}\\3x=6y+\frac{72}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{-294}{5}\\-x+y=\frac{39}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+4y=\frac{43}{2}\\x-6y=\frac{-61}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-74}{3}\\2x-y=9\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-91}{16}\\3x-5y=\frac{5}{16}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+y=\frac{43}{11}\\4x=-5y+\frac{23}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-568}{195}-4x\\-x+5y=\frac{352}{195}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-9}{5}-2x\\-6x+5y=5\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-4y=\frac{-119}{20}\\-5x=y+\frac{-231}{20}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{14}{5})\}\)
2. \(\left\{\begin{matrix}5y=-19-6x\\x-4y=\frac{92}{3}\end{matrix}\right.\qquad V=\{(\frac{8}{3},-7)\}\)
3. \(\left\{\begin{matrix}2x-6y=\frac{33}{40}\\x=-4y+\frac{-53}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-7}{16})\}\)
4. \(\left\{\begin{matrix}6x-y=\frac{-1723}{165}\\5x=-4y+\frac{-1808}{165}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},\frac{-7}{15})\}\)
5. \(\left\{\begin{matrix}x-6y=\frac{44}{5}\\3x=6y+\frac{72}{5}\end{matrix}\right.\qquad V=\{(\frac{14}{5},-1)\}\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{-294}{5}\\-x+y=\frac{39}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},9)\}\)
7. \(\left\{\begin{matrix}-3x+4y=\frac{43}{2}\\x-6y=\frac{-61}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},5)\}\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-74}{3}\\2x-y=9\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{-10}{3})\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-91}{16}\\3x-5y=\frac{5}{16}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{11}{16})\}\)
10. \(\left\{\begin{matrix}-4x+y=\frac{43}{11}\\4x=-5y+\frac{23}{11}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},1)\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-568}{195}-4x\\-x+5y=\frac{352}{195}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{4}{13})\}\)
12. \(\left\{\begin{matrix}y=\frac{-9}{5}-2x\\-6x+5y=5\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-1}{20})\}\)