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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-y=\frac{-61}{4}\\-2x=-2y+\frac{95}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{31}{2}-2x\\6x+y=\frac{161}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-5y=\frac{-25}{12}\\-5x=6y+\frac{9}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-2y=\frac{76}{15}\\-3x+y=\frac{-118}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-5}{14}-x\\-4x+6y=\frac{29}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{73}{19}-3x\\-x-5y=\frac{1}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{162}{17}+6x\\x+3y=\frac{-47}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+2y=\frac{-7}{10}\\4x=-2y+\frac{-23}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{-68}{5}-4x\\-x+y=\frac{46}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{-36}{5}+x\\5x-5y=6\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+3y=\frac{83}{76}\\x-3y=\frac{85}{76}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+4y=\frac{85}{52}\\-x=6y+\frac{-437}{104}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-y=\frac{-61}{4}\\-2x=-2y+\frac{95}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{8},13)\}\)
2. \(\left\{\begin{matrix}2y=\frac{31}{2}-2x\\6x+y=\frac{161}{4}\end{matrix}\right.\qquad V=\{(\frac{13}{2},\frac{5}{4})\}\)
3. \(\left\{\begin{matrix}-x-5y=\frac{-25}{12}\\-5x=6y+\frac{9}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{2}{3})\}\)
4. \(\left\{\begin{matrix}2x-2y=\frac{76}{15}\\-3x+y=\frac{-118}{15}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{2}{15})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-5}{14}-x\\-4x+6y=\frac{29}{7}\end{matrix}\right.\qquad V=\{(1,\frac{19}{14})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{73}{19}-3x\\-x-5y=\frac{1}{19}\end{matrix}\right.\qquad V=\{(1,\frac{-4}{19})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{162}{17}+6x\\x+3y=\frac{-47}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{-10}{17})\}\)
8. \(\left\{\begin{matrix}x+2y=\frac{-7}{10}\\4x=-2y+\frac{-23}{10}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{-1}{12})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{-68}{5}-4x\\-x+y=\frac{46}{15}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{2}{3})\}\)
10. \(\left\{\begin{matrix}4y=\frac{-36}{5}+x\\5x-5y=6\end{matrix}\right.\qquad V=\{(\frac{-4}{5},-2)\}\)
11. \(\left\{\begin{matrix}5x+3y=\frac{83}{76}\\x-3y=\frac{85}{76}\end{matrix}\right.\qquad V=\{(\frac{7}{19},\frac{-1}{4})\}\)
12. \(\left\{\begin{matrix}2x+4y=\frac{85}{52}\\-x=6y+\frac{-437}{104}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{11}{13})\}\)