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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-6y=\frac{12}{5}\\-6x=2y+\frac{-178}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+y=\frac{25}{7}\\-3x-6y=\frac{-69}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{621}{104}\\-x=4y+\frac{-119}{52}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-2y=\frac{122}{19}\\-x-2y=\frac{42}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-4y=\frac{64}{3}\\-x-y=\frac{-11}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+y=\frac{488}{255}\\3x=4y+\frac{-543}{85}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+6y=34\\6x=y+83\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-85}{8}-4x\\x-y=\frac{-37}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+2y=\frac{21}{4}\\x-2y=\frac{-17}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+6y=\frac{21}{2}\\-x=3y+\frac{-11}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-y=\frac{19}{9}\\-3x+2y=\frac{113}{18}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{1451}{234}\\x=2y+\frac{-274}{117}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-6y=\frac{12}{5}\\-6x=2y+\frac{-178}{15}\end{matrix}\right.\qquad V=\{(2,\frac{-1}{15})\}\)
2. \(\left\{\begin{matrix}2x+y=\frac{25}{7}\\-3x-6y=\frac{-69}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{7},1)\}\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{621}{104}\\-x=4y+\frac{-119}{52}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{11}{16})\}\)
4. \(\left\{\begin{matrix}-5x-2y=\frac{122}{19}\\-x-2y=\frac{42}{19}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{-11}{19})\}\)
5. \(\left\{\begin{matrix}5x-4y=\frac{64}{3}\\-x-y=\frac{-11}{3}\end{matrix}\right.\qquad V=\{(4,\frac{-1}{3})\}\)
6. \(\left\{\begin{matrix}-x+y=\frac{488}{255}\\3x=4y+\frac{-543}{85}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{11}{17})\}\)
7. \(\left\{\begin{matrix}2x+6y=34\\6x=y+83\end{matrix}\right.\qquad V=\{(14,1)\}\)
8. \(\left\{\begin{matrix}3y=\frac{-85}{8}-4x\\x-y=\frac{-37}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{9}{8})\}\)
9. \(\left\{\begin{matrix}-5x+2y=\frac{21}{4}\\x-2y=\frac{-17}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},2)\}\)
10. \(\left\{\begin{matrix}3x+6y=\frac{21}{2}\\-x=3y+\frac{-11}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},2)\}\)
11. \(\left\{\begin{matrix}-2x-y=\frac{19}{9}\\-3x+2y=\frac{113}{18}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{8}{9})\}\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{1451}{234}\\x=2y+\frac{-274}{117}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{19}{18})\}\)