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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+4y=\frac{61}{2}\\-x=-3y+-8\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-17}{5}+x\\-4x-5y=-11\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+y=\frac{1654}{221}\\4x-6y=\frac{1058}{221}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-59}{18}-4x\\4x-y=\frac{-145}{36}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-y=\frac{-14}{171}\\-5x=3y+\frac{-650}{171}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-48}{5}-3x\\6x-y=\frac{-61}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-y=\frac{-129}{20}\\6x=4y+\frac{-52}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{25}{4}\\-5x=-y+\frac{13}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{-439}{14}\\-x+4y=\frac{-323}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+5y=\frac{13}{3}\\-5x=-2y+\frac{-119}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+5y=\frac{-135}{143}\\-x-4y=\frac{-90}{143}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+2y=\frac{60}{17}\\x=4y+\frac{-1}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+4y=\frac{61}{2}\\-x=-3y+-8\end{matrix}\right.\qquad V=\{(\frac{13}{2},\frac{-1}{2})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-17}{5}+x\\-4x-5y=-11\end{matrix}\right.\qquad V=\{(6,\frac{-13}{5})\}\)
3. \(\left\{\begin{matrix}5x+y=\frac{1654}{221}\\4x-6y=\frac{1058}{221}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{3}{17})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-59}{18}-4x\\4x-y=\frac{-145}{36}\end{matrix}\right.\qquad V=\{(\frac{-17}{18},\frac{1}{4})\}\)
5. \(\left\{\begin{matrix}x-y=\frac{-14}{171}\\-5x=3y+\frac{-650}{171}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{10}{19})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-48}{5}-3x\\6x-y=\frac{-61}{5}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},-1)\}\)
7. \(\left\{\begin{matrix}-2x-y=\frac{-129}{20}\\6x=4y+\frac{-52}{5}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{17}{4})\}\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{25}{4}\\-5x=-y+\frac{13}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{-439}{14}\\-x+4y=\frac{-323}{14}\end{matrix}\right.\qquad V=\{(\frac{-13}{14},-6)\}\)
10. \(\left\{\begin{matrix}-x+5y=\frac{13}{3}\\-5x=-2y+\frac{-119}{3}\end{matrix}\right.\qquad V=\{(9,\frac{8}{3})\}\)
11. \(\left\{\begin{matrix}5x+5y=\frac{-135}{143}\\-x-4y=\frac{-90}{143}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{3}{11})\}\)
12. \(\left\{\begin{matrix}-4x+2y=\frac{60}{17}\\x=4y+\frac{-1}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{-4}{17})\}\)