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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{10}{3}+4x\\-x-4y=\frac{25}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-3y=\frac{-39}{10}\\5x=-5y+\frac{113}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+2y=\frac{28}{3}\\2x+y=\frac{31}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{-3}{2}-x\\2x+5y=\frac{9}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+5y=\frac{216}{13}\\x=y+\frac{-97}{65}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{355}{63}+5x\\4x+y=\frac{-919}{126}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-66}{17}+4x\\2x-5y=\frac{114}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=10-x\\-6x+4y=-28\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-y=\frac{274}{221}\\-2x=-6y+\frac{1996}{221}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+3y=\frac{929}{13}\\-x-y=\frac{206}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=12-6x\\-3x-y=\frac{24}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-2y=\frac{13}{12}\\x=-2y+\frac{49}{24}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{10}{3}+4x\\-x-4y=\frac{25}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-5}{2})\}\)
2. \(\left\{\begin{matrix}x-3y=\frac{-39}{10}\\5x=-5y+\frac{113}{2}\end{matrix}\right.\qquad V=\{(\frac{15}{2},\frac{19}{5})\}\)
3. \(\left\{\begin{matrix}2x+2y=\frac{28}{3}\\2x+y=\frac{31}{3}\end{matrix}\right.\qquad V=\{(\frac{17}{3},-1)\}\)
4. \(\left\{\begin{matrix}-5y=\frac{-3}{2}-x\\2x+5y=\frac{9}{2}\end{matrix}\right.\qquad V=\{(1,\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}2x+5y=\frac{216}{13}\\x=y+\frac{-97}{65}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{14}{5})\}\)
6. \(\left\{\begin{matrix}2y=\frac{355}{63}+5x\\4x+y=\frac{-919}{126}\end{matrix}\right.\qquad V=\{(\frac{-14}{9},\frac{-15}{14})\}\)
7. \(\left\{\begin{matrix}y=\frac{-66}{17}+4x\\2x-5y=\frac{114}{17}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{-18}{17})\}\)
8. \(\left\{\begin{matrix}-6y=10-x\\-6x+4y=-28\end{matrix}\right.\qquad V=\{(4,-1)\}\)
9. \(\left\{\begin{matrix}-3x-y=\frac{274}{221}\\-2x=-6y+\frac{1996}{221}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{16}{13})\}\)
10. \(\left\{\begin{matrix}-4x+3y=\frac{929}{13}\\-x-y=\frac{206}{13}\end{matrix}\right.\qquad V=\{(-17,\frac{15}{13})\}\)
11. \(\left\{\begin{matrix}-4y=12-6x\\-3x-y=\frac{24}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-18}{5})\}\)
12. \(\left\{\begin{matrix}-6x-2y=\frac{13}{12}\\x=-2y+\frac{49}{24}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{4}{3})\}\)