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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{9}{2}-x\\6x-3y=\frac{-51}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-2y=26\\-x-4y=7\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+5y=\frac{-11}{2}\\-x=-y+\frac{11}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{-92}{5}\\-4x=-y+\frac{-54}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-6y=\frac{-205}{33}\\-x-y=\frac{-313}{198}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+y=\frac{243}{35}\\-2x+2y=\frac{66}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+2y=\frac{282}{95}\\4x-y=\frac{-466}{95}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{758}{91}-3x\\6x-6y=\frac{1740}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-411}{65}+6x\\3x-6y=\frac{459}{65}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{15}{13}+2x\\6x-y=\frac{108}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{28}{3}+5x\\x+2y=\frac{7}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+5y=\frac{41}{8}\\-6x=5y+\frac{-209}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{9}{2}-x\\6x-3y=\frac{-51}{2}\end{matrix}\right.\qquad V=\{(\frac{-11}{2},\frac{-5}{2})\}\)
2. \(\left\{\begin{matrix}-5x-2y=26\\-x-4y=7\end{matrix}\right.\qquad V=\{(-5,\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}6x+5y=\frac{-11}{2}\\-x=-y+\frac{11}{15}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-1}{10})\}\)
4. \(\left\{\begin{matrix}-2x-6y=\frac{-92}{5}\\-4x=-y+\frac{-54}{5}\end{matrix}\right.\qquad V=\{(\frac{16}{5},2)\}\)
5. \(\left\{\begin{matrix}-4x-6y=\frac{-205}{33}\\-x-y=\frac{-313}{198}\end{matrix}\right.\qquad V=\{(\frac{18}{11},\frac{-1}{18})\}\)
6. \(\left\{\begin{matrix}6x+y=\frac{243}{35}\\-2x+2y=\frac{66}{35}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{9}{5})\}\)
7. \(\left\{\begin{matrix}5x+2y=\frac{282}{95}\\4x-y=\frac{-466}{95}\end{matrix}\right.\qquad V=\{(\frac{-10}{19},\frac{14}{5})\}\)
8. \(\left\{\begin{matrix}-y=\frac{758}{91}-3x\\6x-6y=\frac{1740}{91}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{-8}{13})\}\)
9. \(\left\{\begin{matrix}-y=\frac{-411}{65}+6x\\3x-6y=\frac{459}{65}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{-3}{5})\}\)
10. \(\left\{\begin{matrix}6y=\frac{15}{13}+2x\\6x-y=\frac{108}{13}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{9}{13})\}\)
11. \(\left\{\begin{matrix}4y=\frac{28}{3}+5x\\x+2y=\frac{7}{6}\end{matrix}\right.\qquad V=\{(-1,\frac{13}{12})\}\)
12. \(\left\{\begin{matrix}-x+5y=\frac{41}{8}\\-6x=5y+\frac{-209}{8}\end{matrix}\right.\qquad V=\{(3,\frac{13}{8})\}\)