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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=-15+2x\\-3x+y=\frac{-67}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-4y=\frac{32}{21}\\-x+y=\frac{-20}{21}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{148}{119}+x\\4x+4y=\frac{-1152}{119}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+y=\frac{-261}{95}\\3x-4y=\frac{-39}{95}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-6y=-3\\x+4y=\frac{3}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+5y=\frac{-314}{19}\\2x=-y+\frac{-310}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{401}{4}+x\\-6x+4y=\frac{115}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+2y=\frac{251}{63}\\-4x=-y+\frac{148}{63}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-6y=-33\\-x+y=6\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-y=\frac{-65}{11}\\6x=6y+\frac{-360}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-131}{5}-x\\-3x+2y=\frac{-57}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-73}{9}-4x\\4x+5y=\frac{-109}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=-15+2x\\-3x+y=\frac{-67}{5}\end{matrix}\right.\qquad V=\{(4,\frac{-7}{5})\}\)
2. \(\left\{\begin{matrix}3x-4y=\frac{32}{21}\\-x+y=\frac{-20}{21}\end{matrix}\right.\qquad V=\{(\frac{16}{7},\frac{4}{3})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{148}{119}+x\\4x+4y=\frac{-1152}{119}\end{matrix}\right.\qquad V=\{(\frac{-19}{7},\frac{5}{17})\}\)
4. \(\left\{\begin{matrix}-3x+y=\frac{-261}{95}\\3x-4y=\frac{-39}{95}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{20}{19})\}\)
5. \(\left\{\begin{matrix}2x-6y=-3\\x+4y=\frac{3}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{3}{10})\}\)
6. \(\left\{\begin{matrix}6x+5y=\frac{-314}{19}\\2x=-y+\frac{-310}{57}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-2}{19})\}\)
7. \(\left\{\begin{matrix}6y=\frac{401}{4}+x\\-6x+4y=\frac{115}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{4},17)\}\)
8. \(\left\{\begin{matrix}-3x+2y=\frac{251}{63}\\-4x=-y+\frac{148}{63}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{16}{9})\}\)
9. \(\left\{\begin{matrix}5x-6y=-33\\-x+y=6\end{matrix}\right.\qquad V=\{(-3,3)\}\)
10. \(\left\{\begin{matrix}2x-y=\frac{-65}{11}\\6x=6y+\frac{-360}{11}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},5)\}\)
11. \(\left\{\begin{matrix}6y=\frac{-131}{5}-x\\-3x+2y=\frac{-57}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-9}{2})\}\)
12. \(\left\{\begin{matrix}y=\frac{-73}{9}-4x\\4x+5y=\frac{-109}{9}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},-1)\}\)