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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+4y=\frac{-40}{3}\\-5x=-y+-9\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+5y=\frac{1517}{306}\\2x=6y+\frac{-313}{51}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{272}{165}+4x\\-2x+y=\frac{136}{165}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-2y=\frac{-43}{30}\\6x+4y=\frac{-7}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+4y=\frac{272}{3}\\-x+3y=-9\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+2y=\frac{-22}{3}\\-x-4y=\frac{35}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-6y=\frac{381}{34}\\5x=y+\frac{-1}{68}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=13-6x\\-x+2y=\frac{-5}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{51}{4}-3x\\6x-2y=\frac{-53}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+6y=\frac{-186}{133}\\-x+5y=\frac{-41}{133}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-43}{11}-x\\-6x+6y=\frac{-6}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-5y=\frac{177}{10}\\-2x=-y+\frac{-17}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+4y=\frac{-40}{3}\\-5x=-y+-9\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-7}{3})\}\)
2. \(\left\{\begin{matrix}-x+5y=\frac{1517}{306}\\2x=6y+\frac{-313}{51}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{17}{18})\}\)
3. \(\left\{\begin{matrix}2y=\frac{272}{165}+4x\\-2x+y=\frac{136}{165}\end{matrix}\right.\qquad V=\{(\frac{2}{15},\frac{12}{11})\}\)
4. \(\left\{\begin{matrix}-x-2y=\frac{-43}{30}\\6x+4y=\frac{-7}{5}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},\frac{5}{4})\}\)
5. \(\left\{\begin{matrix}6x+4y=\frac{272}{3}\\-x+3y=-9\end{matrix}\right.\qquad V=\{(14,\frac{5}{3})\}\)
6. \(\left\{\begin{matrix}5x+2y=\frac{-22}{3}\\-x-4y=\frac{35}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-17}{6})\}\)
7. \(\left\{\begin{matrix}-2x-6y=\frac{381}{34}\\5x=y+\frac{-1}{68}\end{matrix}\right.\qquad V=\{(\frac{-6}{17},\frac{-7}{4})\}\)
8. \(\left\{\begin{matrix}-4y=13-6x\\-x+2y=\frac{-5}{6}\end{matrix}\right.\qquad V=\{(\frac{17}{6},1)\}\)
9. \(\left\{\begin{matrix}y=\frac{51}{4}-3x\\6x-2y=\frac{-53}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{12},13)\}\)
10. \(\left\{\begin{matrix}-3x+6y=\frac{-186}{133}\\-x+5y=\frac{-41}{133}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{1}{19})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-43}{11}-x\\-6x+6y=\frac{-6}{11}\end{matrix}\right.\qquad V=\{(\frac{12}{11},1)\}\)
12. \(\left\{\begin{matrix}3x-5y=\frac{177}{10}\\-2x=-y+\frac{-17}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{-18}{5})\}\)