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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+2y=\frac{-188}{11}\\-x-y=\frac{-126}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{-351}{19}-x\\-5x-6y=\frac{672}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+5y=\frac{-21}{8}\\4x=-y+\frac{-9}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+4y=\frac{196}{117}\\-x-3y=\frac{-563}{117}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{37}{55}-x\\3x+6y=\frac{111}{55}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-2y=\frac{-97}{136}\\x=y+\frac{-417}{272}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-6y=\frac{101}{10}\\-x=3y+\frac{-97}{60}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-5y=\frac{-9}{44}\\x=-2y+\frac{-19}{22}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{4}{5}+4x\\-x-5y=-3\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-6y=\frac{100}{3}\\x=y+\frac{-64}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{-62}{63}\\-x+2y=\frac{59}{63}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{36}{5}-2x\\-5x-y=15\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+2y=\frac{-188}{11}\\-x-y=\frac{-126}{11}\end{matrix}\right.\qquad V=\{(10,\frac{16}{11})\}\)
2. \(\left\{\begin{matrix}3y=\frac{-351}{19}-x\\-5x-6y=\frac{672}{19}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{-19}{3})\}\)
3. \(\left\{\begin{matrix}4x+5y=\frac{-21}{8}\\4x=-y+\frac{-9}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{-3}{8})\}\)
4. \(\left\{\begin{matrix}-4x+4y=\frac{196}{117}\\-x-3y=\frac{-563}{117}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{17}{13})\}\)
5. \(\left\{\begin{matrix}2y=\frac{37}{55}-x\\3x+6y=\frac{111}{55}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{1}{5})\}\)
6. \(\left\{\begin{matrix}-3x-2y=\frac{-97}{136}\\x=y+\frac{-417}{272}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{17}{16})\}\)
7. \(\left\{\begin{matrix}3x-6y=\frac{101}{10}\\-x=3y+\frac{-97}{60}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{-7}{20})\}\)
8. \(\left\{\begin{matrix}4x-5y=\frac{-9}{44}\\x=-2y+\frac{-19}{22}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},\frac{-1}{4})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{4}{5}+4x\\-x-5y=-3\end{matrix}\right.\qquad V=\{(-1,\frac{4}{5})\}\)
10. \(\left\{\begin{matrix}-6x-6y=\frac{100}{3}\\x=y+\frac{-64}{9}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{7}{9})\}\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{-62}{63}\\-x+2y=\frac{59}{63}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{5}{14})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{36}{5}-2x\\-5x-y=15\end{matrix}\right.\qquad V=\{(\frac{-12}{5},-3)\}\)