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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{493}{42}-2x\\-x+4y=\frac{527}{42}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-y=22\\-4x=5y+53\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-2y=\frac{366}{119}\\x=2y+\frac{576}{119}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-y=\frac{-152}{13}\\-3x=2y+\frac{-109}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-23}{11}-2x\\2x+y=\frac{-51}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+2y=\frac{31}{21}\\6x+y=\frac{17}{42}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{9}{10}-6x\\x-6y=\frac{47}{30}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+6y=\frac{137}{14}\\-x+4y=\frac{9}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-2y=\frac{158}{117}\\-3x-2y=\frac{-86}{39}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{-10}{3}+2x\\3x-y=-3\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-2y=\frac{-344}{91}\\-x=-y+\frac{227}{182}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{19}{9}-4x\\-2x-y=\frac{-19}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{493}{42}-2x\\-x+4y=\frac{527}{42}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{17}{6})\}\)
2. \(\left\{\begin{matrix}-2x-y=22\\-4x=5y+53\end{matrix}\right.\qquad V=\{(\frac{-19}{2},-3)\}\)
3. \(\left\{\begin{matrix}4x-2y=\frac{366}{119}\\x=2y+\frac{576}{119}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{-19}{7})\}\)
4. \(\left\{\begin{matrix}-4x-y=\frac{-152}{13}\\-3x=2y+\frac{-109}{13}\end{matrix}\right.\qquad V=\{(3,\frac{-4}{13})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-23}{11}-2x\\2x+y=\frac{-51}{11}\end{matrix}\right.\qquad V=\{(-2,\frac{-7}{11})\}\)
6. \(\left\{\begin{matrix}6x+2y=\frac{31}{21}\\6x+y=\frac{17}{42}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{15}{14})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{9}{10}-6x\\x-6y=\frac{47}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{-1}{4})\}\)
8. \(\left\{\begin{matrix}5x+6y=\frac{137}{14}\\-x+4y=\frac{9}{14}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{1}{2})\}\)
9. \(\left\{\begin{matrix}x-2y=\frac{158}{117}\\-3x-2y=\frac{-86}{39}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{-3}{13})\}\)
10. \(\left\{\begin{matrix}6y=\frac{-10}{3}+2x\\3x-y=-3\end{matrix}\right.\qquad V=\{(\frac{-4}{3},-1)\}\)
11. \(\left\{\begin{matrix}-4x-2y=\frac{-344}{91}\\-x=-y+\frac{227}{182}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{19}{13})\}\)
12. \(\left\{\begin{matrix}2y=\frac{19}{9}-4x\\-2x-y=\frac{-19}{18}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{3}{2})\}\)