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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-88}{9}+2x\\5x-5y=\frac{370}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+5y=\frac{-338}{209}\\-5x+y=\frac{168}{209}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-y=\frac{-43}{13}\\-6x+5y=\frac{5}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=-43-2x\\-2x+y=\frac{-5}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{49}{13}-2x\\-6x-y=\frac{35}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+5y=\frac{-263}{34}\\2x-2y=\frac{43}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{-113}{76}-x\\-4x-6y=\frac{281}{76}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-6y=\frac{294}{85}\\6x=y+\frac{-206}{85}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{121}{4}\\5x+y=\frac{-377}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+3y=9\\x=-5y+23\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{430}{63}+5x\\4x+3y=\frac{-166}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{-44}{5}-4x\\x+6y=\frac{-7}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-88}{9}+2x\\5x-5y=\frac{370}{9}\end{matrix}\right.\qquad V=\{(6,\frac{-20}{9})\}\)
2. \(\left\{\begin{matrix}6x+5y=\frac{-338}{209}\\-5x+y=\frac{168}{209}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{-2}{19})\}\)
3. \(\left\{\begin{matrix}-3x-y=\frac{-43}{13}\\-6x+5y=\frac{5}{13}\end{matrix}\right.\qquad V=\{(\frac{10}{13},1)\}\)
4. \(\left\{\begin{matrix}6y=-43-2x\\-2x+y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(-2,\frac{-13}{2})\}\)
5. \(\left\{\begin{matrix}5y=\frac{49}{13}-2x\\-6x-y=\frac{35}{13}\end{matrix}\right.\qquad V=\{(\frac{-8}{13},1)\}\)
6. \(\left\{\begin{matrix}x+5y=\frac{-263}{34}\\2x-2y=\frac{43}{17}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{-3}{2})\}\)
7. \(\left\{\begin{matrix}6y=\frac{-113}{76}-x\\-4x-6y=\frac{281}{76}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},\frac{-1}{8})\}\)
8. \(\left\{\begin{matrix}6x-6y=\frac{294}{85}\\6x=y+\frac{-206}{85}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{-20}{17})\}\)
9. \(\left\{\begin{matrix}-3x-3y=\frac{121}{4}\\5x+y=\frac{-377}{12}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{-19}{4})\}\)
10. \(\left\{\begin{matrix}3x+3y=9\\x=-5y+23\end{matrix}\right.\qquad V=\{(-2,5)\}\)
11. \(\left\{\begin{matrix}-y=\frac{430}{63}+5x\\4x+3y=\frac{-166}{21}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-10}{9})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{-44}{5}-4x\\x+6y=\frac{-7}{10}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{1}{5})\}\)