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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-4y=\frac{41}{65}\\x=-3y+\frac{-843}{260}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{-193}{20}+6x\\-4x-y=\frac{-117}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+4y=\frac{-9}{208}\\-x=3y+\frac{-627}{208}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-3y=\frac{-347}{70}\\5x=-3y+\frac{-23}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-7}{2}\\3x+3y=\frac{7}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-20}{13}-x\\4x+4y=\frac{50}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+y=\frac{451}{171}\\4x=4y+\frac{-208}{171}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+3y=\frac{-297}{10}\\5x+y=\frac{-219}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{-55}{18}-x\\4x-6y=\frac{70}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+4y=\frac{119}{76}\\-4x+5y=\frac{207}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+3y=\frac{161}{33}\\-5x=y+\frac{-149}{33}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-y=\frac{-37}{5}\\-5x=6y+13\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-4y=\frac{41}{65}\\x=-3y+\frac{-843}{260}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{-17}{20})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{-193}{20}+6x\\-4x-y=\frac{-117}{20}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{1}{4})\}\)
3. \(\left\{\begin{matrix}-3x+4y=\frac{-9}{208}\\-x=3y+\frac{-627}{208}\end{matrix}\right.\qquad V=\{(\frac{15}{16},\frac{9}{13})\}\)
4. \(\left\{\begin{matrix}x-3y=\frac{-347}{70}\\5x=-3y+\frac{-23}{14}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},\frac{9}{7})\}\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-7}{2}\\3x+3y=\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-1}{3})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-20}{13}-x\\4x+4y=\frac{50}{13}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}-4x+y=\frac{451}{171}\\4x=4y+\frac{-208}{171}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{-9}{19})\}\)
8. \(\left\{\begin{matrix}6x+3y=\frac{-297}{10}\\5x+y=\frac{-219}{10}\end{matrix}\right.\qquad V=\{(-4,\frac{-19}{10})\}\)
9. \(\left\{\begin{matrix}6y=\frac{-55}{18}-x\\4x-6y=\frac{70}{9}\end{matrix}\right.\qquad V=\{(\frac{17}{18},\frac{-2}{3})\}\)
10. \(\left\{\begin{matrix}-x+4y=\frac{119}{76}\\-4x+5y=\frac{207}{19}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{-8}{19})\}\)
11. \(\left\{\begin{matrix}2x+3y=\frac{161}{33}\\-5x=y+\frac{-149}{33}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{13}{11})\}\)
12. \(\left\{\begin{matrix}6x-y=\frac{-37}{5}\\-5x=6y+13\end{matrix}\right.\qquad V=\{(\frac{-7}{5},-1)\}\)