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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-y=\frac{67}{55}\\-5x=-6y+\frac{-109}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+y=\frac{-47}{10}\\3x=-4y+\frac{-107}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-y=\frac{88}{247}\\6x=-5y+\frac{-554}{247}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{91}{10}-4x\\x+3y=\frac{93}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+4y=-50\\-x=-3y+-41\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{-89}{26}-2x\\6x+y=\frac{-207}{26}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+3y=\frac{-1784}{195}\\-x-y=\frac{521}{195}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+6y=\frac{-9}{2}\\x+6y=\frac{-21}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{62}{11}-4x\\3x-3y=\frac{-21}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-263}{13}-x\\2x+3y=\frac{-162}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-4y=\frac{6}{5}\\3x=6y+\frac{-3}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+6y=-3\\x=-y+-3\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-y=\frac{67}{55}\\-5x=-6y+\frac{-109}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-20}{11})\}\)
2. \(\left\{\begin{matrix}3x+y=\frac{-47}{10}\\3x=-4y+\frac{-107}{10}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},-2)\}\)
3. \(\left\{\begin{matrix}-x-y=\frac{88}{247}\\6x=-5y+\frac{-554}{247}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{2}{19})\}\)
4. \(\left\{\begin{matrix}2y=\frac{91}{10}-4x\\x+3y=\frac{93}{20}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{19}{20})\}\)
5. \(\left\{\begin{matrix}-6x+4y=-50\\-x=-3y+-41\end{matrix}\right.\qquad V=\{(-1,-14)\}\)
6. \(\left\{\begin{matrix}2y=\frac{-89}{26}-2x\\6x+y=\frac{-207}{26}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-6}{13})\}\)
7. \(\left\{\begin{matrix}4x+3y=\frac{-1784}{195}\\-x-y=\frac{521}{195}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{-20}{13})\}\)
8. \(\left\{\begin{matrix}6x+6y=\frac{-9}{2}\\x+6y=\frac{-21}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-3}{8})\}\)
9. \(\left\{\begin{matrix}y=\frac{62}{11}-4x\\3x-3y=\frac{-21}{11}\end{matrix}\right.\qquad V=\{(1,\frac{18}{11})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-263}{13}-x\\2x+3y=\frac{-162}{13}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},-4)\}\)
11. \(\left\{\begin{matrix}x-4y=\frac{6}{5}\\3x=6y+\frac{-3}{20}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{-5}{8})\}\)
12. \(\left\{\begin{matrix}-4x+6y=-3\\x=-y+-3\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-3}{2})\}\)