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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{76}{91}+3x\\6x-5y=\frac{-61}{91}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-6y=\frac{-74}{19}\\-x+4y=\frac{40}{57}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+y=\frac{295}{18}\\3x=3y+\frac{317}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-6y=\frac{-187}{57}\\x=-3y+\frac{-52}{171}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-4y=14\\-x-2y=7\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+6y=8\\-4x-y=-5\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{-473}{60}-2x\\x-2y=\frac{-97}{30}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=0-x\\5x+2y=\frac{-17}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-194}{17}+2x\\x-5y=\frac{25}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-4y=\frac{41}{2}\\4x=-y+21\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+5y=\frac{-21}{5}\\-x+y=\frac{-7}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{504}{221}+5x\\-x+6y=\frac{-1096}{221}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{76}{91}+3x\\6x-5y=\frac{-61}{91}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{-1}{7})\}\)
2. \(\left\{\begin{matrix}-3x-6y=\frac{-74}{19}\\-x+4y=\frac{40}{57}\end{matrix}\right.\qquad V=\{(\frac{12}{19},\frac{1}{3})\}\)
3. \(\left\{\begin{matrix}x+y=\frac{295}{18}\\3x=3y+\frac{317}{6}\end{matrix}\right.\qquad V=\{(17,\frac{-11}{18})\}\)
4. \(\left\{\begin{matrix}3x-6y=\frac{-187}{57}\\x=-3y+\frac{-52}{171}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{3}{19})\}\)
5. \(\left\{\begin{matrix}-2x-4y=14\\-x-2y=7\end{matrix}\right.\qquad V=\{(-3,-2)\}\)
6. \(\left\{\begin{matrix}2x+6y=8\\-4x-y=-5\end{matrix}\right.\qquad V=\{(1,1)\}\)
7. \(\left\{\begin{matrix}-5y=\frac{-473}{60}-2x\\x-2y=\frac{-97}{30}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{17}{12})\}\)
8. \(\left\{\begin{matrix}-3y=0-x\\5x+2y=\frac{-17}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-194}{17}+2x\\x-5y=\frac{25}{17}\end{matrix}\right.\qquad V=\{(5,\frac{12}{17})\}\)
10. \(\left\{\begin{matrix}3x-4y=\frac{41}{2}\\4x=-y+21\end{matrix}\right.\qquad V=\{(\frac{11}{2},-1)\}\)
11. \(\left\{\begin{matrix}2x+5y=\frac{-21}{5}\\-x+y=\frac{-7}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{5},-1)\}\)
12. \(\left\{\begin{matrix}-2y=\frac{504}{221}+5x\\-x+6y=\frac{-1096}{221}\end{matrix}\right.\qquad V=\{(\frac{-2}{17},\frac{-11}{13})\}\)