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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{165}{26}+3x\\2x+y=\frac{-45}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{328}{21}+4x\\x-2y=\frac{-179}{42}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-177}{10}+3x\\2x+y=\frac{11}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+2y=\frac{-59}{11}\\4x+y=\frac{-112}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+3y=\frac{-307}{68}\\-x=-4y+\frac{-1}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+y=\frac{20}{13}\\-6x-5y=\frac{134}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{85}{19}+4x\\-x+3y=\frac{206}{95}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+3y=\frac{-51}{14}\\-3x=-y+\frac{-131}{42}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-2y=\frac{66}{7}\\-4x=2y+\frac{-319}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-6y=\frac{256}{17}\\-4x=y+\frac{11}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{129}{22}-6x\\-x-2y=\frac{58}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-71}{42}+2x\\-5x+y=\frac{-235}{126}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{165}{26}+3x\\2x+y=\frac{-45}{13}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-6}{13})\}\)
2. \(\left\{\begin{matrix}6y=\frac{328}{21}+4x\\x-2y=\frac{-179}{42}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{5}{7})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-177}{10}+3x\\2x+y=\frac{11}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{16}{5})\}\)
4. \(\left\{\begin{matrix}3x+2y=\frac{-59}{11}\\4x+y=\frac{-112}{11}\end{matrix}\right.\qquad V=\{(-3,\frac{20}{11})\}\)
5. \(\left\{\begin{matrix}4x+3y=\frac{-307}{68}\\-x=-4y+\frac{-1}{17}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},\frac{-1}{4})\}\)
6. \(\left\{\begin{matrix}-6x+y=\frac{20}{13}\\-6x-5y=\frac{134}{13}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-19}{13})\}\)
7. \(\left\{\begin{matrix}5y=\frac{85}{19}+4x\\-x+3y=\frac{206}{95}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{3}{5})\}\)
8. \(\left\{\begin{matrix}-5x+3y=\frac{-51}{14}\\-3x=-y+\frac{-131}{42}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{7}{6})\}\)
9. \(\left\{\begin{matrix}x-2y=\frac{66}{7}\\-4x=2y+\frac{-319}{7}\end{matrix}\right.\qquad V=\{(11,\frac{11}{14})\}\)
10. \(\left\{\begin{matrix}-5x-6y=\frac{256}{17}\\-4x=y+\frac{11}{17}\end{matrix}\right.\qquad V=\{(\frac{10}{17},-3)\}\)
11. \(\left\{\begin{matrix}-3y=\frac{129}{22}-6x\\-x-2y=\frac{58}{11}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},\frac{-5}{2})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-71}{42}+2x\\-5x+y=\frac{-235}{126}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{5}{18})\}\)