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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{96}{17}+4x\\-x+5y=\frac{72}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-y=\frac{15}{4}\\4x+3y=\frac{-115}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{-973}{143}-6x\\-x+5y=\frac{-67}{143}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-4y=\frac{-501}{91}\\3x+2y=\frac{226}{91}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+y=\frac{29}{90}\\-6x-3y=\frac{-137}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-y=\frac{669}{209}\\-2x=-5y+\frac{1704}{209}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-87}{170}-x\\-2x+2y=\frac{-53}{85}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+6y=\frac{238}{19}\\3x-y=\frac{277}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-6y=-10\\x-3y=\frac{-17}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-y=\frac{-46}{15}\\-5x-4y=\frac{-74}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=30-4x\\x-y=\frac{42}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-2y=\frac{43}{15}\\-x+3y=\frac{-1}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{96}{17}+4x\\-x+5y=\frac{72}{17}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{12}{17})\}\)
2. \(\left\{\begin{matrix}-3x-y=\frac{15}{4}\\4x+3y=\frac{-115}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-11}{4})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{-973}{143}-6x\\-x+5y=\frac{-67}{143}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{-5}{13})\}\)
4. \(\left\{\begin{matrix}x-4y=\frac{-501}{91}\\3x+2y=\frac{226}{91}\end{matrix}\right.\qquad V=\{(\frac{-1}{13},\frac{19}{14})\}\)
5. \(\left\{\begin{matrix}-x+y=\frac{29}{90}\\-6x-3y=\frac{-137}{30}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{13}{18})\}\)
6. \(\left\{\begin{matrix}-5x-y=\frac{669}{209}\\-2x=-5y+\frac{1704}{209}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{14}{11})\}\)
7. \(\left\{\begin{matrix}y=\frac{-87}{170}-x\\-2x+2y=\frac{-53}{85}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{-7}{17})\}\)
8. \(\left\{\begin{matrix}2x+6y=\frac{238}{19}\\3x-y=\frac{277}{19}\end{matrix}\right.\qquad V=\{(5,\frac{8}{19})\}\)
9. \(\left\{\begin{matrix}5x-6y=-10\\x-3y=\frac{-17}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{5}{4})\}\)
10. \(\left\{\begin{matrix}-4x-y=\frac{-46}{15}\\-5x-4y=\frac{-74}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{2}{5})\}\)
11. \(\left\{\begin{matrix}5y=30-4x\\x-y=\frac{42}{5}\end{matrix}\right.\qquad V=\{(8,\frac{-2}{5})\}\)
12. \(\left\{\begin{matrix}-5x-2y=\frac{43}{15}\\-x+3y=\frac{-1}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{-4}{15})\}\)