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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+5y=\frac{224}{33}\\3x+y=\frac{-149}{33}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-6y=\frac{-48}{11}\\-5x-y=\frac{4}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-6y=\frac{821}{90}\\3x+5y=\frac{-55}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+y=\frac{57}{14}\\-2x=-4y+\frac{2}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-4y=\frac{22}{3}\\-5x-y=\frac{-19}{36}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{124}{9}+4x\\x+6y=\frac{-211}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-25}{28}+3x\\2x-y=\frac{4}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-4y=\frac{-203}{36}\\3x=2y+\frac{-7}{36}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+4y=16\\-4x-y=-9\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+6y=\frac{103}{14}\\5x=-3y+\frac{83}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{-13}{11}-4x\\2x-y=\frac{-45}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{43}{13}-4x\\-3x+y=\frac{-16}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+5y=\frac{224}{33}\\3x+y=\frac{-149}{33}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},\frac{2}{3})\}\)
2. \(\left\{\begin{matrix}-6x-6y=\frac{-48}{11}\\-5x-y=\frac{4}{11}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},1)\}\)
3. \(\left\{\begin{matrix}-x-6y=\frac{821}{90}\\3x+5y=\frac{-55}{6}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},\frac{-7}{5})\}\)
4. \(\left\{\begin{matrix}-4x+y=\frac{57}{14}\\-2x=-4y+\frac{2}{7}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}-3x-4y=\frac{22}{3}\\-5x-y=\frac{-19}{36}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-9}{4})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{124}{9}+4x\\x+6y=\frac{-211}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{9},-4)\}\)
7. \(\left\{\begin{matrix}2y=\frac{-25}{28}+3x\\2x-y=\frac{4}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-1}{14})\}\)
8. \(\left\{\begin{matrix}-x-4y=\frac{-203}{36}\\3x=2y+\frac{-7}{36}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{11}{9})\}\)
9. \(\left\{\begin{matrix}-4x+4y=16\\-4x-y=-9\end{matrix}\right.\qquad V=\{(1,5)\}\)
10. \(\left\{\begin{matrix}x+6y=\frac{103}{14}\\5x=-3y+\frac{83}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{8}{7})\}\)
11. \(\left\{\begin{matrix}5y=\frac{-13}{11}-4x\\2x-y=\frac{-45}{11}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},1)\}\)
12. \(\left\{\begin{matrix}-3y=\frac{43}{13}-4x\\-3x+y=\frac{-16}{13}\end{matrix}\right.\qquad V=\{(\frac{1}{13},-1)\}\)