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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-4y=\frac{451}{5}\\x-2y=\frac{-179}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{970}{91}\\x=-3y+\frac{-428}{91}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-y=\frac{9}{4}\\-4x=-4y+-3\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-23}{5}-3x\\6x-2y=\frac{-46}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+3y=\frac{-141}{7}\\-2x=y+\frac{-65}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-6y=\frac{159}{13}\\3x=3y+\frac{87}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+2y=\frac{-148}{91}\\x+3y=\frac{-446}{91}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-53}{44}-3x\\-3x-y=\frac{-125}{88}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{-35}{12}+5x\\-x+3y=\frac{-5}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+4y=73\\3x=y+\frac{89}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+2y=\frac{-296}{5}\\x=y+\frac{58}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+4y=\frac{61}{63}\\x=5y+\frac{-218}{63}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-4y=\frac{451}{5}\\x-2y=\frac{-179}{10}\end{matrix}\right.\qquad V=\{(-18,\frac{-1}{20})\}\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{970}{91}\\x=-3y+\frac{-428}{91}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{-9}{7})\}\)
3. \(\left\{\begin{matrix}-5x-y=\frac{9}{4}\\-4x=-4y+-3\end{matrix}\right.\qquad V=\{(\frac{-1}{4},-1)\}\)
4. \(\left\{\begin{matrix}-y=\frac{-23}{5}-3x\\6x-2y=\frac{-46}{5}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},1)\}\)
5. \(\left\{\begin{matrix}-2x+3y=\frac{-141}{7}\\-2x=y+\frac{-65}{7}\end{matrix}\right.\qquad V=\{(6,\frac{-19}{7})\}\)
6. \(\left\{\begin{matrix}x-6y=\frac{159}{13}\\3x=3y+\frac{87}{13}\end{matrix}\right.\qquad V=\{(\frac{3}{13},-2)\}\)
7. \(\left\{\begin{matrix}-2x+2y=\frac{-148}{91}\\x+3y=\frac{-446}{91}\end{matrix}\right.\qquad V=\{(\frac{-8}{13},\frac{-10}{7})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-53}{44}-3x\\-3x-y=\frac{-125}{88}\end{matrix}\right.\qquad V=\{(\frac{2}{11},\frac{7}{8})\}\)
9. \(\left\{\begin{matrix}5y=\frac{-35}{12}+5x\\-x+3y=\frac{-5}{12}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{1}{12})\}\)
10. \(\left\{\begin{matrix}6x+4y=73\\3x=y+\frac{89}{4}\end{matrix}\right.\qquad V=\{(9,\frac{19}{4})\}\)
11. \(\left\{\begin{matrix}-5x+2y=\frac{-296}{5}\\x=y+\frac{58}{5}\end{matrix}\right.\qquad V=\{(12,\frac{2}{5})\}\)
12. \(\left\{\begin{matrix}-5x+4y=\frac{61}{63}\\x=5y+\frac{-218}{63}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{7}{9})\}\)