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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-6y=\frac{-4}{5}\\-x=y+\frac{-7}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+2y=\frac{-990}{323}\\-5x=y+\frac{-702}{323}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+3y=11\\-x-4y=\frac{-38}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-6y=\frac{99}{14}\\x=5y+\frac{93}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-4y=\frac{-3}{2}\\2x-y=\frac{19}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-4y=7\\-3x=-6y+-9\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{-214}{5}-6x\\-x-6y=\frac{167}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+y=\frac{271}{9}\\2x=-4y+\frac{-356}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+5y=\frac{-25}{2}\\x-5y=\frac{15}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-2y=\frac{2}{15}\\-4x-y=\frac{-29}{60}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+4y=\frac{146}{45}\\-6x=-5y+\frac{-10}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+5y=\frac{535}{143}\\-2x=-6y+\frac{850}{143}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-6y=\frac{-4}{5}\\-x=y+\frac{-7}{10}\end{matrix}\right.\qquad V=\{(\frac{17}{10},-1)\}\)
2. \(\left\{\begin{matrix}-4x+2y=\frac{-990}{323}\\-5x=y+\frac{-702}{323}\end{matrix}\right.\qquad V=\{(\frac{9}{17},\frac{-9}{19})\}\)
3. \(\left\{\begin{matrix}3x+3y=11\\-x-4y=\frac{-38}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{3},3)\}\)
4. \(\left\{\begin{matrix}3x-6y=\frac{99}{14}\\x=5y+\frac{93}{14}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-10}{7})\}\)
5. \(\left\{\begin{matrix}-2x-4y=\frac{-3}{2}\\2x-y=\frac{19}{6}\end{matrix}\right.\qquad V=\{(\frac{17}{12},\frac{-1}{3})\}\)
6. \(\left\{\begin{matrix}x-4y=7\\-3x=-6y+-9\end{matrix}\right.\qquad V=\{(-1,-2)\}\)
7. \(\left\{\begin{matrix}6y=\frac{-214}{5}-6x\\-x-6y=\frac{167}{15}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{-4}{5})\}\)
8. \(\left\{\begin{matrix}-2x+y=\frac{271}{9}\\2x=-4y+\frac{-356}{9}\end{matrix}\right.\qquad V=\{(-16,\frac{-17}{9})\}\)
9. \(\left\{\begin{matrix}-3x+5y=\frac{-25}{2}\\x-5y=\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{2},-1)\}\)
10. \(\left\{\begin{matrix}3x-2y=\frac{2}{15}\\-4x-y=\frac{-29}{60}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{1}{12})\}\)
11. \(\left\{\begin{matrix}-x+4y=\frac{146}{45}\\-6x=-5y+\frac{-10}{3}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{6}{5})\}\)
12. \(\left\{\begin{matrix}-x+5y=\frac{535}{143}\\-2x=-6y+\frac{850}{143}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},\frac{5}{13})\}\)