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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-y=\frac{180}{11}\\-5x-6y=\frac{683}{66}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-4y=\frac{-562}{65}\\-x+6y=\frac{-93}{65}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-3y=54\\5x-y=20\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-y=\frac{-32}{209}\\-2x+5y=\frac{1091}{209}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-y=\frac{-58}{19}\\3x+2y=\frac{78}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+y=\frac{120}{11}\\-3x-6y=\frac{-126}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{58}{15}-3x\\-x-2y=\frac{-134}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{57}{91}-3x\\-x+y=\frac{79}{182}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+4y=\frac{56}{19}\\x-6y=\frac{-60}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+2y=-16\\-x=-3y+\frac{3}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{48}{35}+x\\-6x-4y=\frac{438}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-21}{26}+3x\\x+2y=\frac{1}{26}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-y=\frac{180}{11}\\-5x-6y=\frac{683}{66}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{7}{11})\}\)
2. \(\left\{\begin{matrix}6x-4y=\frac{-562}{65}\\-x+6y=\frac{-93}{65}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-7}{13})\}\)
3. \(\left\{\begin{matrix}5x-3y=54\\5x-y=20\end{matrix}\right.\qquad V=\{(\frac{3}{5},-17)\}\)
4. \(\left\{\begin{matrix}-x-y=\frac{-32}{209}\\-2x+5y=\frac{1091}{209}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{15}{19})\}\)
5. \(\left\{\begin{matrix}-2x-y=\frac{-58}{19}\\3x+2y=\frac{78}{19}\end{matrix}\right.\qquad V=\{(2,\frac{-18}{19})\}\)
6. \(\left\{\begin{matrix}5x+y=\frac{120}{11}\\-3x-6y=\frac{-126}{11}\end{matrix}\right.\qquad V=\{(2,\frac{10}{11})\}\)
7. \(\left\{\begin{matrix}2y=\frac{58}{15}-3x\\-x-2y=\frac{-134}{45}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{19}{15})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{57}{91}-3x\\-x+y=\frac{79}{182}\end{matrix}\right.\qquad V=\{(\frac{-14}{13},\frac{-9}{14})\}\)
9. \(\left\{\begin{matrix}-6x+4y=\frac{56}{19}\\x-6y=\frac{-60}{19}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}5x+2y=-16\\-x=-3y+\frac{3}{2}\end{matrix}\right.\qquad V=\{(-3,\frac{-1}{2})\}\)
11. \(\left\{\begin{matrix}y=\frac{48}{35}+x\\-6x-4y=\frac{438}{35}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-3}{7})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-21}{26}+3x\\x+2y=\frac{1}{26}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-3}{13})\}\)