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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=-17-5x\\x+2y=-7\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{-213}{34}+6x\\-3x-y=\frac{-173}{68}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-4y=\frac{43}{45}\\-5x+y=\frac{-61}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{92}{19}+x\\-3x-6y=\frac{105}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-5y=\frac{-692}{33}\\x-3y=\frac{-74}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{437}{63}+2x\\-x-6y=\frac{589}{42}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{53}{5}-x\\2x-6y=\frac{16}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-2y=\frac{14}{3}\\2x=y+\frac{5}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-5y=\frac{220}{17}\\-6x=2y+\frac{-1544}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{482}{57}\\-x-3y=\frac{93}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-441}{44}-x\\-3x+6y=\frac{507}{44}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{2042}{247}-6x\\-6x-y=\frac{-1990}{247}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=-17-5x\\x+2y=-7\end{matrix}\right.\qquad V=\{(2,\frac{-9}{2})\}\)
2. \(\left\{\begin{matrix}-6y=\frac{-213}{34}+6x\\-3x-y=\frac{-173}{68}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{5}{17})\}\)
3. \(\left\{\begin{matrix}6x-4y=\frac{43}{45}\\-5x+y=\frac{-61}{18}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{10}{9})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{92}{19}+x\\-3x-6y=\frac{105}{19}\end{matrix}\right.\qquad V=\{(\frac{3}{19},-1)\}\)
5. \(\left\{\begin{matrix}-6x-5y=\frac{-692}{33}\\x-3y=\frac{-74}{11}\end{matrix}\right.\qquad V=\{(\frac{14}{11},\frac{8}{3})\}\)
6. \(\left\{\begin{matrix}-2y=\frac{437}{63}+2x\\-x-6y=\frac{589}{42}\end{matrix}\right.\qquad V=\{(\frac{-19}{14},\frac{-19}{9})\}\)
7. \(\left\{\begin{matrix}2y=\frac{53}{5}-x\\2x-6y=\frac{16}{5}\end{matrix}\right.\qquad V=\{(7,\frac{9}{5})\}\)
8. \(\left\{\begin{matrix}2x-2y=\frac{14}{3}\\2x=y+\frac{5}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-3)\}\)
9. \(\left\{\begin{matrix}x-5y=\frac{220}{17}\\-6x=2y+\frac{-1544}{17}\end{matrix}\right.\qquad V=\{(15,\frac{7}{17})\}\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{482}{57}\\-x-3y=\frac{93}{19}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{-4}{3})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-441}{44}-x\\-3x+6y=\frac{507}{44}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{17}{11})\}\)
12. \(\left\{\begin{matrix}2y=\frac{2042}{247}-6x\\-6x-y=\frac{-1990}{247}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{4}{19})\}\)