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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{102}{19}-6x\\x-4y=\frac{83}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-127}{10}-5x\\-4x-y=\frac{99}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-y=\frac{17}{114}\\-3x=-4y+\frac{-16}{57}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-y=\frac{113}{4}\\5x=-6y+\frac{-111}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{711}{8}-x\\-4x-6y=\frac{189}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-y=-21\\4x-4y=20\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-3y=37\\-6x=y+119\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+5y=\frac{-192}{13}\\3x=-y+\frac{-225}{26}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+3y=\frac{-331}{17}\\x=6y+\frac{491}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-4y=\frac{363}{190}\\-2x+4y=\frac{-343}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{-7}{2}-2x\\6x-y=\frac{-17}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+4y=\frac{-1146}{119}\\2x=4y+\frac{1272}{119}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{102}{19}-6x\\x-4y=\frac{83}{19}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{-18}{19})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-127}{10}-5x\\-4x-y=\frac{99}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{1}{10})\}\)
3. \(\left\{\begin{matrix}x-y=\frac{17}{114}\\-3x=-4y+\frac{-16}{57}\end{matrix}\right.\qquad V=\{(\frac{6}{19},\frac{1}{6})\}\)
4. \(\left\{\begin{matrix}-4x-y=\frac{113}{4}\\5x=-6y+\frac{-111}{2}\end{matrix}\right.\qquad V=\{(-6,\frac{-17}{4})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{711}{8}-x\\-4x-6y=\frac{189}{2}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},-15)\}\)
6. \(\left\{\begin{matrix}-3x-y=-21\\4x-4y=20\end{matrix}\right.\qquad V=\{(\frac{13}{2},\frac{3}{2})\}\)
7. \(\left\{\begin{matrix}-2x-3y=37\\-6x=y+119\end{matrix}\right.\qquad V=\{(-20,1)\}\)
8. \(\left\{\begin{matrix}6x+5y=\frac{-192}{13}\\3x=-y+\frac{-225}{26}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},\frac{11}{13})\}\)
9. \(\left\{\begin{matrix}4x+3y=\frac{-331}{17}\\x=6y+\frac{491}{17}\end{matrix}\right.\qquad V=\{(\frac{-19}{17},-5)\}\)
10. \(\left\{\begin{matrix}x-4y=\frac{363}{190}\\-2x+4y=\frac{-343}{95}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{-1}{19})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{-7}{2}-2x\\6x-y=\frac{-17}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{5}{4})\}\)
12. \(\left\{\begin{matrix}-x+4y=\frac{-1146}{119}\\2x=4y+\frac{1272}{119}\end{matrix}\right.\qquad V=\{(\frac{18}{17},\frac{-15}{7})\}\)