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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+3y=\frac{-121}{3}\\x+y=\frac{113}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+y=\frac{-197}{17}\\-5x+5y=\frac{-135}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+2y=5\\-x-6y=\frac{-59}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{-111}{10}-3x\\x-4y=\frac{-107}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-25}{7}-3x\\-x+y=1\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-101}{18}+6x\\-4x-y=\frac{-52}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{21}{26}+3x\\-x+3y=\frac{43}{26}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-y=\frac{-19}{8}\\-6x=-3y+\frac{21}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-4y=\frac{-118}{7}\\x-y=\frac{-59}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-51}{11}+3x\\-3x+5y=\frac{-123}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-2y=\frac{517}{5}\\4x=y+\frac{-673}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{107}{2}\\-x+5y=\frac{35}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+3y=\frac{-121}{3}\\x+y=\frac{113}{9}\end{matrix}\right.\qquad V=\{(13,\frac{-4}{9})\}\)
2. \(\left\{\begin{matrix}-6x+y=\frac{-197}{17}\\-5x+5y=\frac{-135}{17}\end{matrix}\right.\qquad V=\{(2,\frac{7}{17})\}\)
3. \(\left\{\begin{matrix}-5x+2y=5\\-x-6y=\frac{-59}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},2)\}\)
4. \(\left\{\begin{matrix}-5y=\frac{-111}{10}-3x\\x-4y=\frac{-107}{10}\end{matrix}\right.\qquad V=\{(\frac{13}{10},3)\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-25}{7}-3x\\-x+y=1\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{4}{7})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-101}{18}+6x\\-4x-y=\frac{-52}{9}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{-11}{9})\}\)
7. \(\left\{\begin{matrix}6y=\frac{21}{26}+3x\\-x+3y=\frac{43}{26}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{18}{13})\}\)
8. \(\left\{\begin{matrix}4x-y=\frac{-19}{8}\\-6x=-3y+\frac{21}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-5}{8})\}\)
9. \(\left\{\begin{matrix}4x-4y=\frac{-118}{7}\\x-y=\frac{-59}{14}\end{matrix}\right.\qquad V=\{(-4,\frac{3}{14})\}\)
10. \(\left\{\begin{matrix}y=\frac{-51}{11}+3x\\-3x+5y=\frac{-123}{11}\end{matrix}\right.\qquad V=\{(1,\frac{-18}{11})\}\)
11. \(\left\{\begin{matrix}-6x-2y=\frac{517}{5}\\4x=y+\frac{-673}{10}\end{matrix}\right.\qquad V=\{(-17,\frac{-7}{10})\}\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{107}{2}\\-x+5y=\frac{35}{2}\end{matrix}\right.\qquad V=\{(-9,\frac{17}{10})\}\)