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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-y=\frac{-25}{8}\\3x=-2y+\frac{17}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+6y=\frac{122}{5}\\2x-y=\frac{-77}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-5y=\frac{-267}{14}\\4x=-y+\frac{-333}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+y=\frac{-263}{13}\\4x=-6y+\frac{-590}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-6y=\frac{654}{19}\\-x=-y+\frac{-109}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+5y=\frac{-21}{4}\\-x-y=\frac{21}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+5y=\frac{-1216}{165}\\-x+6y=\frac{-566}{165}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-2y=\frac{-77}{26}\\3x-3y=\frac{-135}{26}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-5y=\frac{101}{13}\\x-6y=\frac{72}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{84}{11}-2x\\3x+y=\frac{49}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-457}{63}-4x\\-6x-4y=\frac{-46}{63}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-2y=\frac{70}{9}\\x=-3y+\frac{-11}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-y=\frac{-25}{8}\\3x=-2y+\frac{17}{4}\end{matrix}\right.\qquad V=\{(2,\frac{-7}{8})\}\)
2. \(\left\{\begin{matrix}4x+6y=\frac{122}{5}\\2x-y=\frac{-77}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{13}{3})\}\)
3. \(\left\{\begin{matrix}3x-5y=\frac{-267}{14}\\4x=-y+\frac{-333}{14}\end{matrix}\right.\qquad V=\{(-6,\frac{3}{14})\}\)
4. \(\left\{\begin{matrix}2x+y=\frac{-263}{13}\\4x=-6y+\frac{-590}{13}\end{matrix}\right.\qquad V=\{(\frac{-19}{2},\frac{-16}{13})\}\)
5. \(\left\{\begin{matrix}6x-6y=\frac{654}{19}\\-x=-y+\frac{-109}{19}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},-6)\}\)
6. \(\left\{\begin{matrix}5x+5y=\frac{-21}{4}\\-x-y=\frac{21}{20}\end{matrix}\right.\qquad V=\{(\frac{-7}{20},\frac{-7}{10})\}\)
7. \(\left\{\begin{matrix}4x+5y=\frac{-1216}{165}\\-x+6y=\frac{-566}{165}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{-8}{11})\}\)
8. \(\left\{\begin{matrix}x-2y=\frac{-77}{26}\\3x-3y=\frac{-135}{26}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{16}{13})\}\)
9. \(\left\{\begin{matrix}-6x-5y=\frac{101}{13}\\x-6y=\frac{72}{13}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},-1)\}\)
10. \(\left\{\begin{matrix}-4y=\frac{84}{11}-2x\\3x+y=\frac{49}{11}\end{matrix}\right.\qquad V=\{(\frac{20}{11},-1)\}\)
11. \(\left\{\begin{matrix}-y=\frac{-457}{63}-4x\\-6x-4y=\frac{-46}{63}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{19}{9})\}\)
12. \(\left\{\begin{matrix}-6x-2y=\frac{70}{9}\\x=-3y+\frac{-11}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-8}{9})\}\)