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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+y=\frac{-1}{6}\\5x+3y=\frac{-47}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=23+5x\\x+2y=5\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-76}{21}+4x\\-x-5y=\frac{-25}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+y=\frac{-644}{51}\\3x+3y=\frac{448}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-5y=\frac{93}{7}\\x=-4y+\frac{-232}{35}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{73}{6}+3x\\x+2y=\frac{-91}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-178}{77}-x\\-3x+5y=\frac{758}{77}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-3y=\frac{-1152}{19}\\-2x=-y+\frac{-376}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{-196}{15}-6x\\6x-3y=\frac{-92}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-5y=\frac{-373}{68}\\5x=2y+\frac{45}{34}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+2y=\frac{-14}{33}\\-x=4y+\frac{248}{33}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-2y=\frac{59}{13}\\-6x-y=\frac{88}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+y=\frac{-1}{6}\\5x+3y=\frac{-47}{6}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-3}{2})\}\)
2. \(\left\{\begin{matrix}6y=23+5x\\x+2y=5\end{matrix}\right.\qquad V=\{(-1,3)\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-76}{21}+4x\\-x-5y=\frac{-25}{21}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{1}{14})\}\)
4. \(\left\{\begin{matrix}-6x+y=\frac{-644}{51}\\3x+3y=\frac{448}{51}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{12}{17})\}\)
5. \(\left\{\begin{matrix}5x-5y=\frac{93}{7}\\x=-4y+\frac{-232}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-13}{7})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{73}{6}+3x\\x+2y=\frac{-91}{18}\end{matrix}\right.\qquad V=\{(\frac{17}{18},-3)\}\)
7. \(\left\{\begin{matrix}-y=\frac{-178}{77}-x\\-3x+5y=\frac{758}{77}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{16}{11})\}\)
8. \(\left\{\begin{matrix}-6x-3y=\frac{-1152}{19}\\-2x=-y+\frac{-376}{19}\end{matrix}\right.\qquad V=\{(10,\frac{4}{19})\}\)
9. \(\left\{\begin{matrix}y=\frac{-196}{15}-6x\\6x-3y=\frac{-92}{5}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{4}{3})\}\)
10. \(\left\{\begin{matrix}x-5y=\frac{-373}{68}\\5x=2y+\frac{45}{34}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{5}{4})\}\)
11. \(\left\{\begin{matrix}-2x+2y=\frac{-14}{33}\\-x=4y+\frac{248}{33}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-17}{11})\}\)
12. \(\left\{\begin{matrix}-3x-2y=\frac{59}{13}\\-6x-y=\frac{88}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{-10}{13})\}\)