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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+y=\frac{223}{14}\\-5x=4y+\frac{142}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{815}{51}-5x\\2x+y=\frac{344}{51}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+y=\frac{-328}{77}\\-5x=6y+\frac{-815}{77}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{704}{95}+4x\\4x+y=\frac{-674}{95}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{25}{8}+2x\\-2x+y=\frac{5}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-5y=\frac{-44}{5}\\6x-y=\frac{-62}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-3y=\frac{-43}{42}\\x-y=\frac{47}{126}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-6y=\frac{38}{17}\\5x-5y=\frac{230}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{-67}{4}-x\\5x+4y=54\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-355}{114}-5x\\3x+y=\frac{-87}{38}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-y=\frac{-40}{13}\\-5x=4y+\frac{-188}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+2y=\frac{356}{57}\\-6x-3y=\frac{772}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+y=\frac{223}{14}\\-5x=4y+\frac{142}{7}\end{matrix}\right.\qquad V=\{(-4,\frac{-1}{14})\}\)
2. \(\left\{\begin{matrix}4y=\frac{815}{51}-5x\\2x+y=\frac{344}{51}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{-10}{17})\}\)
3. \(\left\{\begin{matrix}-3x+y=\frac{-328}{77}\\-5x=6y+\frac{-815}{77}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{5}{11})\}\)
4. \(\left\{\begin{matrix}2y=\frac{704}{95}+4x\\4x+y=\frac{-674}{95}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{2}{19})\}\)
5. \(\left\{\begin{matrix}6y=\frac{25}{8}+2x\\-2x+y=\frac{5}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}2x-5y=\frac{-44}{5}\\6x-y=\frac{-62}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},1)\}\)
7. \(\left\{\begin{matrix}5x-3y=\frac{-43}{42}\\x-y=\frac{47}{126}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},\frac{-13}{9})\}\)
8. \(\left\{\begin{matrix}-x-6y=\frac{38}{17}\\5x-5y=\frac{230}{17}\end{matrix}\right.\qquad V=\{(2,\frac{-12}{17})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{-67}{4}-x\\5x+4y=54\end{matrix}\right.\qquad V=\{(7,\frac{19}{4})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-355}{114}-5x\\3x+y=\frac{-87}{38}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{4}{19})\}\)
11. \(\left\{\begin{matrix}-3x-y=\frac{-40}{13}\\-5x=4y+\frac{-188}{13}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},4)\}\)
12. \(\left\{\begin{matrix}-x+2y=\frac{356}{57}\\-6x-3y=\frac{772}{19}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},\frac{-4}{19})\}\)