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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-4}{3}+x\\-5x-4y=\frac{-68}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{4}{3}\\6x=y+-19\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+y=\frac{13}{5}\\5x+4y=\frac{1}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-13}{2}+x\\-3x-6y=8\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+4y=\frac{-1357}{17}\\6x=2y+\frac{698}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=-5+6x\\-4x+5y=\frac{83}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-3y=\frac{-210}{13}\\-3x=y+\frac{125}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-551}{77}+4x\\-x-3y=\frac{481}{77}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{131}{11}+x\\-6x+2y=\frac{790}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-y=\frac{-31}{132}\\-5x-5y=\frac{-1715}{132}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+y=\frac{-23}{21}\\-2x=2y+\frac{-38}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-2y=\frac{33}{130}\\6x=y+\frac{-333}{65}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-4}{3}+x\\-5x-4y=\frac{-68}{3}\end{matrix}\right.\qquad V=\{(\frac{16}{3},-1)\}\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{4}{3}\\6x=y+-19\end{matrix}\right.\qquad V=\{(\frac{-8}{3},3)\}\)
3. \(\left\{\begin{matrix}-3x+y=\frac{13}{5}\\5x+4y=\frac{1}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{4}{5})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-13}{2}+x\\-3x-6y=8\end{matrix}\right.\qquad V=\{(1,\frac{-11}{6})\}\)
5. \(\left\{\begin{matrix}x+4y=\frac{-1357}{17}\\6x=2y+\frac{698}{17}\end{matrix}\right.\qquad V=\{(\frac{3}{17},-20)\}\)
6. \(\left\{\begin{matrix}-y=-5+6x\\-4x+5y=\frac{83}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{17}{4})\}\)
7. \(\left\{\begin{matrix}6x-3y=\frac{-210}{13}\\-3x=y+\frac{125}{13}\end{matrix}\right.\qquad V=\{(-3,\frac{-8}{13})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-551}{77}+4x\\-x-3y=\frac{481}{77}\end{matrix}\right.\qquad V=\{(\frac{2}{11},\frac{-15}{7})\}\)
9. \(\left\{\begin{matrix}y=\frac{131}{11}+x\\-6x+2y=\frac{790}{11}\end{matrix}\right.\qquad V=\{(-12,\frac{-1}{11})\}\)
10. \(\left\{\begin{matrix}x-y=\frac{-31}{132}\\-5x-5y=\frac{-1715}{132}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{17}{12})\}\)
11. \(\left\{\begin{matrix}-5x+y=\frac{-23}{21}\\-2x=2y+\frac{-38}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{4}{7})\}\)
12. \(\left\{\begin{matrix}-3x-2y=\frac{33}{130}\\6x=y+\frac{-333}{65}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{12}{13})\}\)