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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+6y=11\\2x+y=3\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+2y=\frac{-1474}{51}\\-x=2y+\frac{386}{51}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-6y=\frac{232}{3}\\-x=-4y+\frac{-158}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-6y=-30\\x=-2y+17\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{-387}{68}-3x\\-x+3y=\frac{179}{204}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-5y=\frac{205}{16}\\4x=-y+\frac{-17}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{-1}{5}+3x\\2x+y=\frac{-16}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+4y=\frac{95}{2}\\x-3y=\frac{-135}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{42}{5}-3x\\x-4y=\frac{-8}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+3y=-57\\-2x+y=-25\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{381}{34}-6x\\-x+2y=\frac{-605}{204}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-6y=\frac{-72}{95}\\-x+4y=\frac{-92}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+6y=11\\2x+y=3\end{matrix}\right.\qquad V=\{(1,1)\}\)
2. \(\left\{\begin{matrix}5x+2y=\frac{-1474}{51}\\-x=2y+\frac{386}{51}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{-19}{17})\}\)
3. \(\left\{\begin{matrix}2x-6y=\frac{232}{3}\\-x=-4y+\frac{-158}{3}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},-14)\}\)
4. \(\left\{\begin{matrix}4x-6y=-30\\x=-2y+17\end{matrix}\right.\qquad V=\{(3,7)\}\)
5. \(\left\{\begin{matrix}4y=\frac{-387}{68}-3x\\-x+3y=\frac{179}{204}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{-4}{17})\}\)
6. \(\left\{\begin{matrix}-5x-5y=\frac{205}{16}\\4x=-y+\frac{-17}{4}\end{matrix}\right.\qquad V=\{(\frac{-9}{16},-2)\}\)
7. \(\left\{\begin{matrix}6y=\frac{-1}{5}+3x\\2x+y=\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{-2}{3})\}\)
8. \(\left\{\begin{matrix}-3x+4y=\frac{95}{2}\\x-3y=\frac{-135}{8}\end{matrix}\right.\qquad V=\{(-15,\frac{5}{8})\}\)
9. \(\left\{\begin{matrix}6y=\frac{42}{5}-3x\\x-4y=\frac{-8}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{11}{15})\}\)
10. \(\left\{\begin{matrix}-4x+3y=-57\\-2x+y=-25\end{matrix}\right.\qquad V=\{(9,-7)\}\)
11. \(\left\{\begin{matrix}-5y=\frac{381}{34}-6x\\-x+2y=\frac{-605}{204}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{-16}{17})\}\)
12. \(\left\{\begin{matrix}5x-6y=\frac{-72}{95}\\-x+4y=\frac{-92}{95}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},\frac{-2}{5})\}\)