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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{15}{13}-3x\\-6x-y=\frac{96}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-925}{13}-5x\\x+4y=\frac{-770}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-5y=\frac{-121}{17}\\2x-y=\frac{20}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{49}{12}-x\\-5x-2y=\frac{-11}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+4y=\frac{1198}{165}\\-2x-y=\frac{-487}{165}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+4y=\frac{47}{72}\\-x+y=\frac{5}{72}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-139}{28}-x\\-5x-2y=\frac{235}{56}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{-31}{6}\\-5x+y=\frac{-49}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-4y=\frac{-83}{7}\\x-3y=\frac{-121}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{-7}{5}+3x\\-x-y=\frac{28}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-2y=\frac{17}{7}\\-4x-4y=\frac{76}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+y=\frac{254}{221}\\-5x-3y=\frac{18}{221}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{15}{13}-3x\\-6x-y=\frac{96}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{-18}{13})\}\)
2. \(\left\{\begin{matrix}5y=\frac{-925}{13}-5x\\x+4y=\frac{-770}{13}\end{matrix}\right.\qquad V=\{(\frac{10}{13},-15)\}\)
3. \(\left\{\begin{matrix}-3x-5y=\frac{-121}{17}\\2x-y=\frac{20}{17}\end{matrix}\right.\qquad V=\{(1,\frac{14}{17})\}\)
4. \(\left\{\begin{matrix}3y=\frac{49}{12}-x\\-5x-2y=\frac{-11}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{12},\frac{3}{2})\}\)
5. \(\left\{\begin{matrix}3x+4y=\frac{1198}{165}\\-2x-y=\frac{-487}{165}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{17}{15})\}\)
6. \(\left\{\begin{matrix}-3x+4y=\frac{47}{72}\\-x+y=\frac{5}{72}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{4}{9})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-139}{28}-x\\-5x-2y=\frac{235}{56}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{15}{16})\}\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{-31}{6}\\-5x+y=\frac{-49}{6}\end{matrix}\right.\qquad V=\{(\frac{11}{6},1)\}\)
9. \(\left\{\begin{matrix}6x-4y=\frac{-83}{7}\\x-3y=\frac{-121}{14}\end{matrix}\right.\qquad V=\{(\frac{-1}{14},\frac{20}{7})\}\)
10. \(\left\{\begin{matrix}3y=\frac{-7}{5}+3x\\-x-y=\frac{28}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-7}{6})\}\)
11. \(\left\{\begin{matrix}-x-2y=\frac{17}{7}\\-4x-4y=\frac{76}{7}\end{matrix}\right.\qquad V=\{(-3,\frac{2}{7})\}\)
12. \(\left\{\begin{matrix}5x+y=\frac{254}{221}\\-5x-3y=\frac{18}{221}\end{matrix}\right.\qquad V=\{(\frac{6}{17},\frac{-8}{13})\}\)