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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-5}{18}-2x\\-x+3y=\frac{7}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+2y=\frac{115}{28}\\-3x-y=\frac{369}{56}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+5y=\frac{155}{33}\\-x-y=\frac{-131}{165}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+6y=\frac{105}{4}\\-x=-6y+\frac{85}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-2y=\frac{564}{133}\\-2x+y=\frac{402}{133}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-6y=\frac{-131}{45}\\x-2y=\frac{-79}{90}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{145}{14}+4x\\-x-2y=\frac{-275}{56}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+y=\frac{-19}{5}\\5x=-5y+-1\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{-386}{91}-4x\\x-5y=\frac{-12}{91}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-2y=\frac{66}{17}\\-x+5y=\frac{-261}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+2y=\frac{-293}{77}\\-2x+5y=\frac{-1381}{154}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+3y=\frac{-331}{42}\\-6x=-y+\frac{-241}{42}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-5}{18}-2x\\-x+3y=\frac{7}{12}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{4}{9})\}\)
2. \(\left\{\begin{matrix}-5x+2y=\frac{115}{28}\\-3x-y=\frac{369}{56}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{-15}{8})\}\)
3. \(\left\{\begin{matrix}6x+5y=\frac{155}{33}\\-x-y=\frac{-131}{165}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{1}{15})\}\)
4. \(\left\{\begin{matrix}3x+6y=\frac{105}{4}\\-x=-6y+\frac{85}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{15}{4})\}\)
5. \(\left\{\begin{matrix}-5x-2y=\frac{564}{133}\\-2x+y=\frac{402}{133}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{14}{19})\}\)
6. \(\left\{\begin{matrix}4x-6y=\frac{-131}{45}\\x-2y=\frac{-79}{90}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{3}{10})\}\)
7. \(\left\{\begin{matrix}6y=\frac{145}{14}+4x\\-x-2y=\frac{-275}{56}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{15}{7})\}\)
8. \(\left\{\begin{matrix}4x+y=\frac{-19}{5}\\5x=-5y+-1\end{matrix}\right.\qquad V=\{(\frac{-6}{5},1)\}\)
9. \(\left\{\begin{matrix}6y=\frac{-386}{91}-4x\\x-5y=\frac{-12}{91}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{-1}{7})\}\)
10. \(\left\{\begin{matrix}-6x-2y=\frac{66}{17}\\-x+5y=\frac{-261}{17}\end{matrix}\right.\qquad V=\{(\frac{6}{17},-3)\}\)
11. \(\left\{\begin{matrix}-x+2y=\frac{-293}{77}\\-2x+5y=\frac{-1381}{154}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-19}{14})\}\)
12. \(\left\{\begin{matrix}-6x+3y=\frac{-331}{42}\\-6x=-y+\frac{-241}{42}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-15}{14})\}\)