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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+y=-1\\-2x=4y+10\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+3y=\frac{41}{3}\\-x-2y=\frac{53}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+y=\frac{-962}{153}\\6x+6y=\frac{-428}{51}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-6y=\frac{4}{7}\\x+5y=\frac{-58}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+3y=\frac{88}{5}\\6x=y+\frac{-116}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+6y=-7\\4x+y=\frac{-129}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-5y=\frac{-59}{12}\\x=-y+\frac{29}{24}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{3}{2}+3x\\x+6y=\frac{7}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{11}{3}+6x\\x-2y=\frac{-61}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+4y=\frac{29}{5}\\-x=-6y+\frac{-1}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-407}{17}-4x\\5x-y=\frac{-957}{34}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-3y=\frac{-5}{17}\\-2x+y=\frac{133}{85}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+y=-1\\-2x=4y+10\end{matrix}\right.\qquad V=\{(3,-4)\}\)
2. \(\left\{\begin{matrix}-3x+3y=\frac{41}{3}\\-x-2y=\frac{53}{9}\end{matrix}\right.\qquad V=\{(-5,\frac{-4}{9})\}\)
3. \(\left\{\begin{matrix}5x+y=\frac{-962}{153}\\6x+6y=\frac{-428}{51}\end{matrix}\right.\qquad V=\{(\frac{-11}{9},\frac{-3}{17})\}\)
4. \(\left\{\begin{matrix}-6x-6y=\frac{4}{7}\\x+5y=\frac{-58}{21}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}-5x+3y=\frac{88}{5}\\6x=y+\frac{-116}{5}\end{matrix}\right.\qquad V=\{(-4,\frac{-4}{5})\}\)
6. \(\left\{\begin{matrix}2x+6y=-7\\4x+y=\frac{-129}{10}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{-1}{10})\}\)
7. \(\left\{\begin{matrix}4x-5y=\frac{-59}{12}\\x=-y+\frac{29}{24}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{13}{12})\}\)
8. \(\left\{\begin{matrix}2y=\frac{3}{2}+3x\\x+6y=\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{3}{5})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{11}{3}+6x\\x-2y=\frac{-61}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{10}{9})\}\)
10. \(\left\{\begin{matrix}3x+4y=\frac{29}{5}\\-x=-6y+\frac{-1}{10}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{1}{4})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-407}{17}-4x\\5x-y=\frac{-957}{34}\end{matrix}\right.\qquad V=\{(\frac{-11}{2},\frac{11}{17})\}\)
12. \(\left\{\begin{matrix}-5x-3y=\frac{-5}{17}\\-2x+y=\frac{133}{85}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{13}{17})\}\)