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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-y=\frac{-542}{117}\\-5x=2y+\frac{866}{117}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+6y=\frac{90}{17}\\-2x+y=\frac{11}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-3y=\frac{397}{56}\\-x=-2y+\frac{-281}{56}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-4y=\frac{19}{18}\\-x+y=\frac{-1}{18}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{-22}{3}\\-x=-y+\frac{-25}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-5y=\frac{11}{6}\\-6x=-6y+-13\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+4y=-44\\x+5y=\frac{-19}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+6y=\frac{-58}{7}\\3x=-2y+\frac{34}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+6y=\frac{1812}{143}\\-x=-5y+\frac{322}{143}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{1600}{209}-5x\\-x-2y=\frac{-662}{209}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-5y=\frac{107}{22}\\4x=y+\frac{167}{22}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{281}{21}+5x\\x-5y=\frac{95}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-y=\frac{-542}{117}\\-5x=2y+\frac{866}{117}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-12}{13})\}\)
2. \(\left\{\begin{matrix}-4x+6y=\frac{90}{17}\\-2x+y=\frac{11}{17}\end{matrix}\right.\qquad V=\{(\frac{3}{17},1)\}\)
3. \(\left\{\begin{matrix}5x-3y=\frac{397}{56}\\-x=-2y+\frac{-281}{56}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{-18}{7})\}\)
4. \(\left\{\begin{matrix}3x-4y=\frac{19}{18}\\-x+y=\frac{-1}{18}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-8}{9})\}\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{-22}{3}\\-x=-y+\frac{-25}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-19}{12})\}\)
6. \(\left\{\begin{matrix}-x-5y=\frac{11}{6}\\-6x=-6y+-13\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-2}{3})\}\)
7. \(\left\{\begin{matrix}6x+4y=-44\\x+5y=\frac{-19}{2}\end{matrix}\right.\qquad V=\{(-7,\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}-x+6y=\frac{-58}{7}\\3x=-2y+\frac{34}{7}\end{matrix}\right.\qquad V=\{(\frac{16}{7},-1)\}\)
9. \(\left\{\begin{matrix}6x+6y=\frac{1812}{143}\\-x=-5y+\frac{322}{143}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{8}{11})\}\)
10. \(\left\{\begin{matrix}5y=\frac{1600}{209}-5x\\-x-2y=\frac{-662}{209}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},\frac{18}{11})\}\)
11. \(\left\{\begin{matrix}-6x-5y=\frac{107}{22}\\4x=y+\frac{167}{22}\end{matrix}\right.\qquad V=\{(\frac{14}{11},\frac{-5}{2})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{281}{21}+5x\\x-5y=\frac{95}{21}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{-4}{3})\}\)