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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{-49}{3}-2x\\x+y=\frac{67}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-4y=\frac{16}{15}\\-5x=-2y+\frac{-241}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-708}{323}+4x\\-x-6y=\frac{180}{323}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=-6+6x\\3x+y=\frac{93}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+3y=\frac{-305}{68}\\-2x-y=\frac{315}{68}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+6y=\frac{87}{26}\\2x=-y+\frac{-48}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-6y=\frac{-1050}{13}\\x-5y=\frac{-329}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-4y=\frac{16}{3}\\x=6y+-28\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{27}{5}+x\\6x-6y=\frac{18}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{137}{4}-6x\\x+y=\frac{137}{24}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=1+3x\\-5x+5y=5\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-3y=7\\2x-6y=14\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{-49}{3}-2x\\x+y=\frac{67}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{12},\frac{11}{2})\}\)
2. \(\left\{\begin{matrix}x-4y=\frac{16}{15}\\-5x=-2y+\frac{-241}{30}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{3}{20})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-708}{323}+4x\\-x-6y=\frac{180}{323}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{-4}{19})\}\)
4. \(\left\{\begin{matrix}5y=-6+6x\\3x+y=\frac{93}{10}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{9}{5})\}\)
5. \(\left\{\begin{matrix}-4x+3y=\frac{-305}{68}\\-2x-y=\frac{315}{68}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},\frac{-11}{4})\}\)
6. \(\left\{\begin{matrix}-5x+6y=\frac{87}{26}\\2x=-y+\frac{-48}{13}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-9}{13})\}\)
7. \(\left\{\begin{matrix}4x-6y=\frac{-1050}{13}\\x-5y=\frac{-329}{13}\end{matrix}\right.\qquad V=\{(-18,\frac{19}{13})\}\)
8. \(\left\{\begin{matrix}-2x-4y=\frac{16}{3}\\x=6y+-28\end{matrix}\right.\qquad V=\{(-9,\frac{19}{6})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{27}{5}+x\\6x-6y=\frac{18}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-3}{2})\}\)
10. \(\left\{\begin{matrix}6y=\frac{137}{4}-6x\\x+y=\frac{137}{24}\end{matrix}\right.\qquad V=\{(\frac{11}{8},\frac{13}{3})\}\)
11. \(\left\{\begin{matrix}-y=1+3x\\-5x+5y=5\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}x-3y=7\\2x-6y=14\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-3}{2})\}\)