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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+y=-51\\2x-5y=-15\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-35}{34}-5x\\-4x+y=\frac{-46}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-4y=\frac{376}{221}\\-x+4y=\frac{-1416}{221}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+6y=38\\-4x=-y+13\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-3y=\frac{-188}{15}\\-x=4y+\frac{-374}{45}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+y=\frac{-178}{15}\\-5x-5y=\frac{76}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+2y=\frac{25}{39}\\5x=-3y+\frac{-98}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+4y=16\\-x-y=0\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+3y=24\\-x+6y=\frac{11}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{64}{19}-2x\\5x-y=\frac{46}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{34}{45}+x\\3x-5y=\frac{-11}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{73}{22}+2x\\-x-6y=\frac{-179}{44}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+y=-51\\2x-5y=-15\end{matrix}\right.\qquad V=\{(-10,-1)\}\)
2. \(\left\{\begin{matrix}5y=\frac{-35}{34}-5x\\-4x+y=\frac{-46}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-12}{17})\}\)
3. \(\left\{\begin{matrix}-3x-4y=\frac{376}{221}\\-x+4y=\frac{-1416}{221}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{-17}{13})\}\)
4. \(\left\{\begin{matrix}-4x+6y=38\\-4x=-y+13\end{matrix}\right.\qquad V=\{(-2,5)\}\)
5. \(\left\{\begin{matrix}-6x-3y=\frac{-188}{15}\\-x=4y+\frac{-374}{45}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{16}{9})\}\)
6. \(\left\{\begin{matrix}3x+y=\frac{-178}{15}\\-5x-5y=\frac{76}{3}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{-5}{3})\}\)
7. \(\left\{\begin{matrix}-x+2y=\frac{25}{39}\\5x=-3y+\frac{-98}{13}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},\frac{-1}{3})\}\)
8. \(\left\{\begin{matrix}-4x+4y=16\\-x-y=0\end{matrix}\right.\qquad V=\{(-2,2)\}\)
9. \(\left\{\begin{matrix}-3x+3y=24\\-x+6y=\frac{11}{2}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{-1}{2})\}\)
10. \(\left\{\begin{matrix}2y=\frac{64}{19}-2x\\5x-y=\frac{46}{19}\end{matrix}\right.\qquad V=\{(\frac{13}{19},1)\}\)
11. \(\left\{\begin{matrix}-3y=\frac{34}{45}+x\\3x-5y=\frac{-11}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{1}{10})\}\)
12. \(\left\{\begin{matrix}6y=\frac{73}{22}+2x\\-x-6y=\frac{-179}{44}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{7}{11})\}\)