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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-y=\frac{598}{165}\\4x=5y+\frac{64}{165}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{-183}{266}\\3x+y=\frac{99}{266}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-141}{2}+6x\\-x-y=\frac{-25}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-y=-12\\5x=-3y+\frac{41}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-44}{3}-6x\\-x+3y=\frac{26}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+2y=\frac{-56}{3}\\-4x-y=14\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{1363}{95}\\x=2y+\frac{652}{95}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{394}{11}-5x\\6x+3y=\frac{489}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{-235}{12}+3x\\x-5y=\frac{745}{36}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-2y=\frac{-21}{19}\\3x=-4y+\frac{61}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+2y=\frac{109}{56}\\6x-5y=\frac{-271}{28}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{-88}{7}+6x\\x-4y=\frac{143}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-y=\frac{598}{165}\\4x=5y+\frac{64}{165}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{-12}{11})\}\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{-183}{266}\\3x+y=\frac{99}{266}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{3}{19})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-141}{2}+6x\\-x-y=\frac{-25}{2}\end{matrix}\right.\qquad V=\{(12,\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}6x-y=-12\\5x=-3y+\frac{41}{12}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{7}{2})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-44}{3}-6x\\-x+3y=\frac{26}{9}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{2}{9})\}\)
6. \(\left\{\begin{matrix}4x+2y=\frac{-56}{3}\\-4x-y=14\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-14}{3})\}\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{1363}{95}\\x=2y+\frac{652}{95}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},\frac{-19}{5})\}\)
8. \(\left\{\begin{matrix}y=\frac{394}{11}-5x\\6x+3y=\frac{489}{11}\end{matrix}\right.\qquad V=\{(7,\frac{9}{11})\}\)
9. \(\left\{\begin{matrix}5y=\frac{-235}{12}+3x\\x-5y=\frac{745}{36}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{-17}{4})\}\)
10. \(\left\{\begin{matrix}-x-2y=\frac{-21}{19}\\3x=-4y+\frac{61}{19}\end{matrix}\right.\qquad V=\{(1,\frac{1}{19})\}\)
11. \(\left\{\begin{matrix}-x+2y=\frac{109}{56}\\6x-5y=\frac{-271}{28}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{2}{7})\}\)
12. \(\left\{\begin{matrix}2y=\frac{-88}{7}+6x\\x-4y=\frac{143}{21}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-9}{7})\}\)