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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+y=-9\\3x+5y=-9\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{-19}{36}+x\\6x-5y=\frac{103}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-4y=\frac{-2252}{95}\\x=2y+\frac{242}{95}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-5y=\frac{-236}{33}\\-6x=-3y+\frac{-61}{55}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{-287}{4}-4x\\x+6y=\frac{33}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+3y=\frac{83}{42}\\-6x+y=\frac{-47}{42}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+5y=\frac{-65}{6}\\x+5y=\frac{-11}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+2y=\frac{-26}{7}\\x+y=\frac{-4}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{369}{34}+x\\4x+5y=\frac{-478}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{-225}{68}\\-x=4y+\frac{305}{34}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-5y=\frac{185}{24}\\-x+2y=\frac{-47}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+5y=\frac{75}{14}\\x-6y=\frac{-31}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+y=-9\\3x+5y=-9\end{matrix}\right.\qquad V=\{(\frac{-4}{3},-1)\}\)
2. \(\left\{\begin{matrix}3y=\frac{-19}{36}+x\\6x-5y=\frac{103}{12}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{5}{12})\}\)
3. \(\left\{\begin{matrix}-6x-4y=\frac{-2252}{95}\\x=2y+\frac{242}{95}\end{matrix}\right.\qquad V=\{(\frac{18}{5},\frac{10}{19})\}\)
4. \(\left\{\begin{matrix}-x-5y=\frac{-236}{33}\\-6x=-3y+\frac{-61}{55}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{19}{15})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{-287}{4}-4x\\x+6y=\frac{33}{2}\end{matrix}\right.\qquad V=\{(-12,\frac{19}{4})\}\)
6. \(\left\{\begin{matrix}6x+3y=\frac{83}{42}\\-6x+y=\frac{-47}{42}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{3}{14})\}\)
7. \(\left\{\begin{matrix}5x+5y=\frac{-65}{6}\\x+5y=\frac{-11}{2}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-5}{6})\}\)
8. \(\left\{\begin{matrix}-4x+2y=\frac{-26}{7}\\x+y=\frac{-4}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},-1)\}\)
9. \(\left\{\begin{matrix}2y=\frac{369}{34}+x\\4x+5y=\frac{-478}{17}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{20}{17})\}\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{-225}{68}\\-x=4y+\frac{305}{34}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{-17}{8})\}\)
11. \(\left\{\begin{matrix}5x-5y=\frac{185}{24}\\-x+2y=\frac{-47}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-19}{8})\}\)
12. \(\left\{\begin{matrix}-2x+5y=\frac{75}{14}\\x-6y=\frac{-31}{7}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{1}{2})\}\)