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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-71}{18}-6x\\x+y=\frac{-5}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+3y=\frac{-115}{12}\\-6x-y=\frac{7}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-6y=\frac{1044}{19}\\-4x-y=\frac{-928}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+6y=\frac{-74}{17}\\4x=-4y+\frac{-208}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-3y=\frac{171}{7}\\-6x=y+\frac{85}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{119}{10}+5x\\-3x-y=\frac{67}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-5y=\frac{641}{19}\\x-3y=\frac{403}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{-344}{63}\\x-3y=\frac{109}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=-92+6x\\-x+6y=\frac{-226}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-y=\frac{355}{133}\\-3x+4y=\frac{-451}{133}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+3y=\frac{-293}{13}\\x=-3y+\frac{-359}{39}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+y=\frac{-98}{255}\\-2x+6y=\frac{-126}{85}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-71}{18}-6x\\x+y=\frac{-5}{9}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{11}{18})\}\)
2. \(\left\{\begin{matrix}5x+3y=\frac{-115}{12}\\-6x-y=\frac{7}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-15}{4})\}\)
3. \(\left\{\begin{matrix}5x-6y=\frac{1044}{19}\\-4x-y=\frac{-928}{19}\end{matrix}\right.\qquad V=\{(12,\frac{16}{19})\}\)
4. \(\left\{\begin{matrix}-x+6y=\frac{-74}{17}\\4x=-4y+\frac{-208}{17}\end{matrix}\right.\qquad V=\{(-2,\frac{-18}{17})\}\)
5. \(\left\{\begin{matrix}-4x-3y=\frac{171}{7}\\-6x=y+\frac{85}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},-7)\}\)
6. \(\left\{\begin{matrix}-2y=\frac{119}{10}+5x\\-3x-y=\frac{67}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-11}{5})\}\)
7. \(\left\{\begin{matrix}-6x-5y=\frac{641}{19}\\x-3y=\frac{403}{19}\end{matrix}\right.\qquad V=\{(\frac{4}{19},-7)\}\)
8. \(\left\{\begin{matrix}-3x-4y=\frac{-344}{63}\\x-3y=\frac{109}{21}\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{-7}{9})\}\)
9. \(\left\{\begin{matrix}6y=-92+6x\\-x+6y=\frac{-226}{3}\end{matrix}\right.\qquad V=\{(\frac{10}{3},-12)\}\)
10. \(\left\{\begin{matrix}5x-y=\frac{355}{133}\\-3x+4y=\frac{-451}{133}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-10}{19})\}\)
11. \(\left\{\begin{matrix}3x+3y=\frac{-293}{13}\\x=-3y+\frac{-359}{39}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},\frac{-11}{13})\}\)
12. \(\left\{\begin{matrix}2x+y=\frac{-98}{255}\\-2x+6y=\frac{-126}{85}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},\frac{-4}{15})\}\)