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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+2y=\frac{14}{15}\\4x=y+\frac{-146}{45}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+5y=\frac{7}{2}\\x-5y=\frac{-17}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{-110}{17}+4x\\5x-y=\frac{92}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+6y=\frac{-633}{34}\\3x+y=\frac{29}{68}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-5y=\frac{620}{13}\\x-6y=\frac{877}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-2y=\frac{22}{3}\\6x=y+\frac{32}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=14+x\\3x+4y=-4\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-83}{9}+5x\\-4x-y=\frac{-73}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+y=\frac{-1}{4}\\-5x-4y=\frac{7}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{-244}{17}+6x\\-x-3y=\frac{-64}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{457}{95}+4x\\x-4y=\frac{-157}{95}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-3y=\frac{-67}{10}\\-x=3y+\frac{7}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+2y=\frac{14}{15}\\4x=y+\frac{-146}{45}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-6}{5})\}\)
2. \(\left\{\begin{matrix}4x+5y=\frac{7}{2}\\x-5y=\frac{-17}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{2})\}\)
3. \(\left\{\begin{matrix}6y=\frac{-110}{17}+4x\\5x-y=\frac{92}{17}\end{matrix}\right.\qquad V=\{(1,\frac{-7}{17})\}\)
4. \(\left\{\begin{matrix}-2x+6y=\frac{-633}{34}\\3x+y=\frac{29}{68}\end{matrix}\right.\qquad V=\{(\frac{18}{17},\frac{-11}{4})\}\)
5. \(\left\{\begin{matrix}-5x-5y=\frac{620}{13}\\x-6y=\frac{877}{13}\end{matrix}\right.\qquad V=\{(\frac{19}{13},-11)\}\)
6. \(\left\{\begin{matrix}5x-2y=\frac{22}{3}\\6x=y+\frac{32}{3}\end{matrix}\right.\qquad V=\{(2,\frac{4}{3})\}\)
7. \(\left\{\begin{matrix}5y=14+x\\3x+4y=-4\end{matrix}\right.\qquad V=\{(-4,2)\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-83}{9}+5x\\-4x-y=\frac{-73}{9}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-11}{9})\}\)
9. \(\left\{\begin{matrix}x+y=\frac{-1}{4}\\-5x-4y=\frac{7}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{-244}{17}+6x\\-x-3y=\frac{-64}{17}\end{matrix}\right.\qquad V=\{(2,\frac{10}{17})\}\)
11. \(\left\{\begin{matrix}4y=\frac{457}{95}+4x\\x-4y=\frac{-157}{95}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{3}{20})\}\)
12. \(\left\{\begin{matrix}5x-3y=\frac{-67}{10}\\-x=3y+\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{-3}{5})\}\)