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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-5y=\frac{-31}{19}\\4x=-y+\frac{59}{95}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-4y=\frac{274}{11}\\-x=-y+\frac{-85}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-y=\frac{-3}{2}\\5x=-3y+\frac{7}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-y=\frac{-67}{6}\\4x-5y=\frac{97}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-5y=\frac{1}{30}\\6x=-y+\frac{-59}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{-425}{28}+x\\3x-4y=\frac{-227}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+2y=\frac{-481}{14}\\3x=-y+\frac{-241}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+y=\frac{89}{8}\\-5x-5y=\frac{-45}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-14}{5}-4x\\4x-y=\frac{-17}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{956}{13}-2x\\4x+y=\frac{274}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+3y=\frac{-155}{9}\\4x=-4y+\frac{-196}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+4y=\frac{70}{11}\\x-6y=\frac{5}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-5y=\frac{-31}{19}\\4x=-y+\frac{59}{95}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{1}{5})\}\)
2. \(\left\{\begin{matrix}3x-4y=\frac{274}{11}\\-x=-y+\frac{-85}{11}\end{matrix}\right.\qquad V=\{(6,\frac{-19}{11})\}\)
3. \(\left\{\begin{matrix}2x-y=\frac{-3}{2}\\5x=-3y+\frac{7}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},1)\}\)
4. \(\left\{\begin{matrix}-4x-y=\frac{-67}{6}\\4x-5y=\frac{97}{6}\end{matrix}\right.\qquad V=\{(3,\frac{-5}{6})\}\)
5. \(\left\{\begin{matrix}4x-5y=\frac{1}{30}\\6x=-y+\frac{-59}{10}\end{matrix}\right.\qquad V=\{(\frac{-13}{15},\frac{-7}{10})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{-425}{28}+x\\3x-4y=\frac{-227}{14}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{19}{4})\}\)
7. \(\left\{\begin{matrix}5x+2y=\frac{-481}{14}\\3x=-y+\frac{-241}{14}\end{matrix}\right.\qquad V=\{(\frac{-1}{14},-17)\}\)
8. \(\left\{\begin{matrix}5x+y=\frac{89}{8}\\-5x-5y=\frac{-45}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-11}{8})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-14}{5}-4x\\4x-y=\frac{-17}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{5})\}\)
10. \(\left\{\begin{matrix}4y=\frac{956}{13}-2x\\4x+y=\frac{274}{13}\end{matrix}\right.\qquad V=\{(\frac{10}{13},18)\}\)
11. \(\left\{\begin{matrix}-x+3y=\frac{-155}{9}\\4x=-4y+\frac{-196}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{-17}{3})\}\)
12. \(\left\{\begin{matrix}6x+4y=\frac{70}{11}\\x-6y=\frac{5}{11}\end{matrix}\right.\qquad V=\{(1,\frac{1}{11})\}\)