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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+5y=\frac{85}{18}\\x+y=\frac{1}{18}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+5y=\frac{-19}{60}\\x+5y=\frac{77}{60}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-6y=\frac{-708}{119}\\-5x+6y=\frac{-516}{119}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+y=\frac{-95}{272}\\-4x+5y=\frac{-955}{272}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-2y=\frac{58}{19}\\-x=-2y+\frac{-73}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+6y=\frac{567}{95}\\-2x=y+\frac{-142}{95}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+3y=\frac{17}{8}\\x=y+\frac{-23}{24}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{142}{119}+5x\\-x-5y=\frac{104}{119}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{204}{5}+6x\\6x+y=\frac{-213}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-5y=\frac{164}{9}\\x=-y+\frac{-40}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{59}{6}-4x\\x-4y=\frac{-277}{24}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-6y=\frac{-149}{2}\\-3x=y+\frac{165}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+5y=\frac{85}{18}\\x+y=\frac{1}{18}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}3x+5y=\frac{-19}{60}\\x+5y=\frac{77}{60}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{5}{12})\}\)
3. \(\left\{\begin{matrix}-x-6y=\frac{-708}{119}\\-5x+6y=\frac{-516}{119}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{12}{17})\}\)
4. \(\left\{\begin{matrix}-2x+y=\frac{-95}{272}\\-4x+5y=\frac{-955}{272}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{-15}{16})\}\)
5. \(\left\{\begin{matrix}6x-2y=\frac{58}{19}\\-x=-2y+\frac{-73}{19}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},-2)\}\)
6. \(\left\{\begin{matrix}2x+6y=\frac{567}{95}\\-2x=y+\frac{-142}{95}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{17}{19})\}\)
7. \(\left\{\begin{matrix}3x+3y=\frac{17}{8}\\x=y+\frac{-23}{24}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{5}{6})\}\)
8. \(\left\{\begin{matrix}2y=\frac{142}{119}+5x\\-x-5y=\frac{104}{119}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-2}{17})\}\)
9. \(\left\{\begin{matrix}2y=\frac{204}{5}+6x\\6x+y=\frac{-213}{5}\end{matrix}\right.\qquad V=\{(-7,\frac{-3}{5})\}\)
10. \(\left\{\begin{matrix}-4x-5y=\frac{164}{9}\\x=-y+\frac{-40}{9}\end{matrix}\right.\qquad V=\{(-4,\frac{-4}{9})\}\)
11. \(\left\{\begin{matrix}5y=\frac{59}{6}-4x\\x-4y=\frac{-277}{24}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{8}{3})\}\)
12. \(\left\{\begin{matrix}5x-6y=\frac{-149}{2}\\-3x=y+\frac{165}{4}\end{matrix}\right.\qquad V=\{(-14,\frac{3}{4})\}\)