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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+y=\frac{508}{143}\\4x=-3y+\frac{-1011}{143}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{17}{176}+x\\-4x+6y=\frac{-109}{88}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+5y=-39\\-x-4y=\frac{89}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-842}{17}-6x\\3x+y=\frac{-478}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-6y=\frac{213}{7}\\6x-6y=\frac{290}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=58-6x\\x-y=8\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{-689}{84}+4x\\6x-y=\frac{1331}{84}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{213}{14}-2x\\-x-y=\frac{-33}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-6y=\frac{-29}{3}\\-3x=y+\frac{68}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-y=\frac{-7}{8}\\3x=5y+\frac{37}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=-54-6x\\-x-y=-6\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+5y=\frac{52}{17}\\-5x=-y+\frac{72}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+y=\frac{508}{143}\\4x=-3y+\frac{-1011}{143}\end{matrix}\right.\qquad V=\{(\frac{-15}{11},\frac{-7}{13})\}\)
2. \(\left\{\begin{matrix}y=\frac{17}{176}+x\\-4x+6y=\frac{-109}{88}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{-13}{16})\}\)
3. \(\left\{\begin{matrix}6x+5y=-39\\-x-4y=\frac{89}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{2},-12)\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-842}{17}-6x\\3x+y=\frac{-478}{17}\end{matrix}\right.\qquad V=\{(-9,\frac{-19}{17})\}\)
5. \(\left\{\begin{matrix}-x-6y=\frac{213}{7}\\6x-6y=\frac{290}{7}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{-16}{3})\}\)
6. \(\left\{\begin{matrix}4y=58-6x\\x-y=8\end{matrix}\right.\qquad V=\{(9,1)\}\)
7. \(\left\{\begin{matrix}-5y=\frac{-689}{84}+4x\\6x-y=\frac{1331}{84}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{-5}{12})\}\)
8. \(\left\{\begin{matrix}5y=\frac{213}{14}-2x\\-x-y=\frac{-33}{14}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{7}{2})\}\)
9. \(\left\{\begin{matrix}5x-6y=\frac{-29}{3}\\-3x=y+\frac{68}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{-11}{3})\}\)
10. \(\left\{\begin{matrix}3x-y=\frac{-7}{8}\\3x=5y+\frac{37}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-11}{8})\}\)
11. \(\left\{\begin{matrix}-3y=-54-6x\\-x-y=-6\end{matrix}\right.\qquad V=\{(-4,10)\}\)
12. \(\left\{\begin{matrix}3x+5y=\frac{52}{17}\\-5x=-y+\frac{72}{17}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},1)\}\)