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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{-27}{4}-5x\\-4x+y=\frac{33}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+3y=\frac{173}{76}\\-2x=-2y+\frac{13}{114}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{18}{13}+6x\\3x-3y=\frac{17}{26}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+3y=-63\\-x=-4y+-79\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-4y=\frac{194}{13}\\-4x-y=\frac{-46}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{-37}{5}\\x+2y=\frac{-7}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-133}{36}+3x\\x-2y=\frac{71}{36}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=-36+6x\\4x+3y=\frac{-16}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-5y=\frac{-181}{10}\\-x-6y=\frac{-2}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{162}{55}-x\\4x+4y=\frac{-152}{55}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{-58}{3}+5x\\x-3y=\frac{13}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=6-6x\\-6x+5y=-14\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{-27}{4}-5x\\-4x+y=\frac{33}{4}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{-3}{4})\}\)
2. \(\left\{\begin{matrix}x+3y=\frac{173}{76}\\-2x=-2y+\frac{13}{114}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{7}{12})\}\)
3. \(\left\{\begin{matrix}-y=\frac{18}{13}+6x\\3x-3y=\frac{17}{26}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-5}{13})\}\)
4. \(\left\{\begin{matrix}3x+3y=-63\\-x=-4y+-79\end{matrix}\right.\qquad V=\{(-1,-20)\}\)
5. \(\left\{\begin{matrix}5x-4y=\frac{194}{13}\\-4x-y=\frac{-46}{13}\end{matrix}\right.\qquad V=\{(\frac{18}{13},-2)\}\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{-37}{5}\\x+2y=\frac{-7}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-6}{5})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-133}{36}+3x\\x-2y=\frac{71}{36}\end{matrix}\right.\qquad V=\{(\frac{17}{12},\frac{-5}{18})\}\)
8. \(\left\{\begin{matrix}y=-36+6x\\4x+3y=\frac{-16}{3}\end{matrix}\right.\qquad V=\{(\frac{14}{3},-8)\}\)
9. \(\left\{\begin{matrix}6x-5y=\frac{-181}{10}\\-x-6y=\frac{-2}{5}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}5y=\frac{162}{55}-x\\4x+4y=\frac{-152}{55}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{10}{11})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{-58}{3}+5x\\x-3y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}-y=6-6x\\-6x+5y=-14\end{matrix}\right.\qquad V=\{(\frac{2}{3},-2)\}\)