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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-2y=\frac{25}{6}\\x=y+\frac{1}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{-11}{24}\\-4x-y=\frac{1}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-4y=\frac{87}{14}\\4x+y=\frac{-327}{56}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+6y=\frac{187}{10}\\x=6y+\frac{-169}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{23}{6}\\6x+y=\frac{-31}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=17-x\\2x+5y=-1\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-95}{34}-4x\\6x+y=\frac{-369}{68}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{51}{140}-2x\\-2x-2y=\frac{111}{70}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-5y=\frac{-512}{33}\\x+2y=\frac{158}{33}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+2y=\frac{56}{39}\\-3x-y=\frac{-41}{39}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=11-6x\\x+5y=\frac{-21}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{-297}{68}+5x\\x+y=\frac{117}{68}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-2y=\frac{25}{6}\\x=y+\frac{1}{12}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-3}{4})\}\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{-11}{24}\\-4x-y=\frac{1}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{1}{6})\}\)
3. \(\left\{\begin{matrix}-4x-4y=\frac{87}{14}\\4x+y=\frac{-327}{56}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-1}{8})\}\)
4. \(\left\{\begin{matrix}-3x+6y=\frac{187}{10}\\x=6y+\frac{-169}{10}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{8}{3})\}\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{23}{6}\\6x+y=\frac{-31}{2}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}6y=17-x\\2x+5y=-1\end{matrix}\right.\qquad V=\{(-13,5)\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-95}{34}-4x\\6x+y=\frac{-369}{68}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-3}{17})\}\)
8. \(\left\{\begin{matrix}-y=\frac{51}{140}-2x\\-2x-2y=\frac{111}{70}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{-13}{20})\}\)
9. \(\left\{\begin{matrix}4x-5y=\frac{-512}{33}\\x+2y=\frac{158}{33}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{8}{3})\}\)
10. \(\left\{\begin{matrix}3x+2y=\frac{56}{39}\\-3x-y=\frac{-41}{39}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{5}{13})\}\)
11. \(\left\{\begin{matrix}-4y=11-6x\\x+5y=\frac{-21}{4}\end{matrix}\right.\qquad V=\{(1,\frac{-5}{4})\}\)
12. \(\left\{\begin{matrix}4y=\frac{-297}{68}+5x\\x+y=\frac{117}{68}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{8}{17})\}\)