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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+y=\frac{-25}{4}\\5x=-4y+29\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-6y=\frac{549}{76}\\x=4y+\frac{223}{38}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-y=\frac{4}{15}\\-4x=-6y+\frac{-164}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-3y=\frac{-43}{2}\\-3x+y=\frac{67}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{677}{182}-5x\\-x+3y=\frac{5}{182}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+4y=\frac{5}{13}\\-2x+y=\frac{-51}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-5y=\frac{473}{10}\\x=-3y+\frac{-271}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+y=\frac{621}{176}\\2x=6y+\frac{153}{88}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{27}{19}\\x+3y=\frac{32}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-121}{9}+5x\\-2x+y=\frac{-202}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-4y=\frac{604}{171}\\-4x-3y=\frac{37}{57}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{245}{51}+6x\\x-6y=\frac{637}{306}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+y=\frac{-25}{4}\\5x=-4y+29\end{matrix}\right.\qquad V=\{(6,\frac{-1}{4})\}\)
2. \(\left\{\begin{matrix}4x-6y=\frac{549}{76}\\x=4y+\frac{223}{38}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},\frac{-13}{8})\}\)
3. \(\left\{\begin{matrix}-4x-y=\frac{4}{15}\\-4x=-6y+\frac{-164}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-8}{5})\}\)
4. \(\left\{\begin{matrix}6x-3y=\frac{-43}{2}\\-3x+y=\frac{67}{6}\end{matrix}\right.\qquad V=\{(-4,\frac{-5}{6})\}\)
5. \(\left\{\begin{matrix}3y=\frac{677}{182}-5x\\-x+3y=\frac{5}{182}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{3}{14})\}\)
6. \(\left\{\begin{matrix}3x+4y=\frac{5}{13}\\-2x+y=\frac{-51}{13}\end{matrix}\right.\qquad V=\{(\frac{19}{13},-1)\}\)
7. \(\left\{\begin{matrix}-3x-5y=\frac{473}{10}\\x=-3y+\frac{-271}{10}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-17}{2})\}\)
8. \(\left\{\begin{matrix}-5x+y=\frac{621}{176}\\2x=6y+\frac{153}{88}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},\frac{-9}{16})\}\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{27}{19}\\x+3y=\frac{32}{19}\end{matrix}\right.\qquad V=\{(-1,\frac{17}{19})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-121}{9}+5x\\-2x+y=\frac{-202}{45}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{-8}{9})\}\)
11. \(\left\{\begin{matrix}x-4y=\frac{604}{171}\\-4x-3y=\frac{37}{57}\end{matrix}\right.\qquad V=\{(\frac{8}{19},\frac{-7}{9})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{245}{51}+6x\\x-6y=\frac{637}{306}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},\frac{-7}{17})\}\)