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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-6y=\frac{-42}{5}\\3x=5y+\frac{-57}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-4y=\frac{596}{45}\\x+y=\frac{-131}{45}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-3y=\frac{819}{34}\\-x=5y+\frac{243}{34}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{160}{187}-2x\\-x+5y=\frac{-488}{187}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-y=\frac{134}{171}\\-4x=4y+\frac{572}{171}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+4y=-8\\-x=6y+\frac{9}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-134}{17}+4x\\6x-6y=\frac{192}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-y=\frac{7}{13}\\-3x=3y+\frac{21}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{65}{6}+6x\\-4x+y=\frac{89}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-4y=\frac{206}{17}\\-x=4y+\frac{286}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+6y=\frac{-76}{11}\\-6x=3y+\frac{-105}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{113}{9}\\x=6y+\frac{122}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-6y=\frac{-42}{5}\\3x=5y+\frac{-57}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{3}{2})\}\)
2. \(\left\{\begin{matrix}-6x-4y=\frac{596}{45}\\x+y=\frac{-131}{45}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-19}{9})\}\)
3. \(\left\{\begin{matrix}-5x-3y=\frac{819}{34}\\-x=5y+\frac{243}{34}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-9}{17})\}\)
4. \(\left\{\begin{matrix}-2y=\frac{160}{187}-2x\\-x+5y=\frac{-488}{187}\end{matrix}\right.\qquad V=\{(\frac{-2}{17},\frac{-6}{11})\}\)
5. \(\left\{\begin{matrix}-2x-y=\frac{134}{171}\\-4x=4y+\frac{572}{171}\end{matrix}\right.\qquad V=\{(\frac{1}{19},\frac{-8}{9})\}\)
6. \(\left\{\begin{matrix}-5x+4y=-8\\-x=6y+\frac{9}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}y=\frac{-134}{17}+4x\\6x-6y=\frac{192}{17}\end{matrix}\right.\qquad V=\{(2,\frac{2}{17})\}\)
8. \(\left\{\begin{matrix}-x-y=\frac{7}{13}\\-3x=3y+\frac{21}{13}\end{matrix}\right.\qquad V=\{(-2,\frac{19}{13})\}\)
9. \(\left\{\begin{matrix}2y=\frac{65}{6}+6x\\-4x+y=\frac{89}{12}\end{matrix}\right.\qquad V=\{(-2,\frac{-7}{12})\}\)
10. \(\left\{\begin{matrix}-5x-4y=\frac{206}{17}\\-x=4y+\frac{286}{17}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{-9}{2})\}\)
11. \(\left\{\begin{matrix}-x+6y=\frac{-76}{11}\\-6x=3y+\frac{-105}{11}\end{matrix}\right.\qquad V=\{(2,\frac{-9}{11})\}\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{113}{9}\\x=6y+\frac{122}{9}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-7}{3})\}\)