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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-368}{65}-3x\\x+2y=\frac{127}{195}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-14}{9}+x\\-5x+6y=\frac{-188}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+y=\frac{-40}{7}\\-4x=-3y+\frac{-68}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-5y=\frac{-43}{10}\\-5x+4y=\frac{15}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+2y=\frac{547}{153}\\5x-y=\frac{1613}{306}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-129}{20}\\-x+4y=\frac{13}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+5y=11\\4x=-4y+28\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-y=\frac{-118}{7}\\4x-4y=\frac{-352}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{59}{3}-5x\\-2x+2y=\frac{-26}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{-189}{85}-3x\\-2x-y=\frac{-27}{85}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-5y=\frac{29}{2}\\x=-6y+-31\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+2y=\frac{319}{76}\\x=y+\frac{-319}{152}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-368}{65}-3x\\x+2y=\frac{127}{195}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{9}{13})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-14}{9}+x\\-5x+6y=\frac{-188}{3}\end{matrix}\right.\qquad V=\{(10,\frac{-19}{9})\}\)
3. \(\left\{\begin{matrix}3x+y=\frac{-40}{7}\\-4x=-3y+\frac{-68}{7}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},-4)\}\)
4. \(\left\{\begin{matrix}-x-5y=\frac{-43}{10}\\-5x+4y=\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},1)\}\)
5. \(\left\{\begin{matrix}2x+2y=\frac{547}{153}\\5x-y=\frac{1613}{306}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{11}{18})\}\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-129}{20}\\-x+4y=\frac{13}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{3}{20})\}\)
7. \(\left\{\begin{matrix}x+5y=11\\4x=-4y+28\end{matrix}\right.\qquad V=\{(6,1)\}\)
8. \(\left\{\begin{matrix}-2x-y=\frac{-118}{7}\\4x-4y=\frac{-352}{7}\end{matrix}\right.\qquad V=\{(\frac{10}{7},14)\}\)
9. \(\left\{\begin{matrix}y=\frac{59}{3}-5x\\-2x+2y=\frac{-26}{3}\end{matrix}\right.\qquad V=\{(4,\frac{-1}{3})\}\)
10. \(\left\{\begin{matrix}3y=\frac{-189}{85}-3x\\-2x-y=\frac{-27}{85}\end{matrix}\right.\qquad V=\{(\frac{18}{17},\frac{-9}{5})\}\)
11. \(\left\{\begin{matrix}2x-5y=\frac{29}{2}\\x=-6y+-31\end{matrix}\right.\qquad V=\{(-4,\frac{-9}{2})\}\)
12. \(\left\{\begin{matrix}-2x+2y=\frac{319}{76}\\x=y+\frac{-319}{152}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{9}{19})\}\)