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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-5y=\frac{31}{3}\\4x-2y=\frac{-74}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-4y=\frac{-8}{3}\\2x+5y=\frac{-71}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+6y=57\\-5x=y+-32\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+5y=\frac{229}{40}\\-4x+2y=\frac{-183}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-2y=70\\-5x-y=-55\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+y=\frac{-127}{14}\\-6x=4y+\frac{-185}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-2y=\frac{-151}{30}\\x+6y=\frac{47}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+y=\frac{-19}{2}\\4x=6y+\frac{251}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{48}{13}\\5x=y+\frac{-115}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-4y=\frac{107}{3}\\5x+3y=\frac{-76}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{35}{4}\\-5x+y=\frac{83}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{503}{198}+3x\\x+6y=\frac{-163}{33}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-5y=\frac{31}{3}\\4x-2y=\frac{-74}{3}\end{matrix}\right.\qquad V=\{(-8,\frac{-11}{3})\}\)
2. \(\left\{\begin{matrix}x-4y=\frac{-8}{3}\\2x+5y=\frac{-71}{6}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}3x+6y=57\\-5x=y+-32\end{matrix}\right.\qquad V=\{(5,7)\}\)
4. \(\left\{\begin{matrix}x+5y=\frac{229}{40}\\-4x+2y=\frac{-183}{20}\end{matrix}\right.\qquad V=\{(\frac{13}{5},\frac{5}{8})\}\)
5. \(\left\{\begin{matrix}5x-2y=70\\-5x-y=-55\end{matrix}\right.\qquad V=\{(12,-5)\}\)
6. \(\left\{\begin{matrix}-4x+y=\frac{-127}{14}\\-6x=4y+\frac{-185}{14}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-1}{14})\}\)
7. \(\left\{\begin{matrix}4x-2y=\frac{-151}{30}\\x+6y=\frac{47}{10}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{11}{12})\}\)
8. \(\left\{\begin{matrix}5x+y=\frac{-19}{2}\\4x=6y+\frac{251}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-17}{2})\}\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{48}{13}\\5x=y+\frac{-115}{13}\end{matrix}\right.\qquad V=\{(-2,\frac{-15}{13})\}\)
10. \(\left\{\begin{matrix}-x-4y=\frac{107}{3}\\5x+3y=\frac{-76}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},-9)\}\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{35}{4}\\-5x+y=\frac{83}{8}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},1)\}\)
12. \(\left\{\begin{matrix}-5y=\frac{503}{198}+3x\\x+6y=\frac{-163}{33}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{-17}{18})\}\)