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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-146}{19}-2x\\x+6y=\frac{927}{95}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+5y=\frac{193}{56}\\-2x-y=\frac{-83}{28}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{828}{187}+6x\\2x+y=\frac{-474}{187}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+5y=\frac{-189}{17}\\-x=3y+\frac{142}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-y=\frac{-88}{17}\\-3x-5y=\frac{-355}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+3y=\frac{9}{10}\\-x-4y=\frac{-7}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-42}{17}-4x\\-x-5y=\frac{89}{34}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+4y=\frac{-406}{33}\\4x-y=\frac{827}{99}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{-28}{3}+4x\\-3x-y=\frac{-13}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-y=0\\5x-4y=-1\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-5y=\frac{-93}{28}\\-2x-y=\frac{-23}{42}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{65}{21}\\4x+y=\frac{-22}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-146}{19}-2x\\x+6y=\frac{927}{95}\end{matrix}\right.\qquad V=\{(\frac{3}{19},\frac{8}{5})\}\)
2. \(\left\{\begin{matrix}3x+5y=\frac{193}{56}\\-2x-y=\frac{-83}{28}\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{-2}{7})\}\)
3. \(\left\{\begin{matrix}6y=\frac{828}{187}+6x\\2x+y=\frac{-474}{187}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{-6}{17})\}\)
4. \(\left\{\begin{matrix}6x+5y=\frac{-189}{17}\\-x=3y+\frac{142}{17}\end{matrix}\right.\qquad V=\{(\frac{11}{17},-3)\}\)
5. \(\left\{\begin{matrix}-4x-y=\frac{-88}{17}\\-3x-5y=\frac{-355}{17}\end{matrix}\right.\qquad V=\{(\frac{5}{17},4)\}\)
6. \(\left\{\begin{matrix}-2x+3y=\frac{9}{10}\\-x-4y=\frac{-7}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{1}{6})\}\)
7. \(\left\{\begin{matrix}4y=\frac{-42}{17}-4x\\-x-5y=\frac{89}{34}\end{matrix}\right.\qquad V=\{(\frac{-2}{17},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}-6x+4y=\frac{-406}{33}\\4x-y=\frac{827}{99}\end{matrix}\right.\qquad V=\{(\frac{19}{9},\frac{1}{11})\}\)
9. \(\left\{\begin{matrix}6y=\frac{-28}{3}+4x\\-3x-y=\frac{-13}{5}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{-4}{5})\}\)
10. \(\left\{\begin{matrix}x-y=0\\5x-4y=-1\end{matrix}\right.\qquad V=\{(-1,-1)\}\)
11. \(\left\{\begin{matrix}-3x-5y=\frac{-93}{28}\\-2x-y=\frac{-23}{42}\end{matrix}\right.\qquad V=\{(\frac{-1}{12},\frac{5}{7})\}\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{65}{21}\\4x+y=\frac{-22}{21}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{2}{7})\}\)