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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-2y=\frac{-417}{88}\\2x-4y=\frac{-417}{44}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+5y=\frac{100}{7}\\2x-4y=\frac{-52}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-5y=\frac{26}{15}\\x=3y+\frac{8}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+6y=\frac{375}{68}\\x+2y=\frac{181}{68}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{-222}{55}\\6x=y+\frac{368}{55}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{262}{21}+2x\\-x+6y=\frac{191}{21}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-6y=\frac{749}{117}\\-x=y+\frac{137}{234}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{55}{2}-5x\\5x+y=\frac{7}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-2y=25\\x+2y=8\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{74}{7}+5x\\-2x-y=\frac{55}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-4y=\frac{12}{17}\\2x=y+\frac{23}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{149}{56}+3x\\-x-4y=\frac{327}{56}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-2y=\frac{-417}{88}\\2x-4y=\frac{-417}{44}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{13}{11})\}\)
2. \(\left\{\begin{matrix}x+5y=\frac{100}{7}\\2x-4y=\frac{-52}{7}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{18}{7})\}\)
3. \(\left\{\begin{matrix}4x-5y=\frac{26}{15}\\x=3y+\frac{8}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-2}{3})\}\)
4. \(\left\{\begin{matrix}-3x+6y=\frac{375}{68}\\x+2y=\frac{181}{68}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{9}{8})\}\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{-222}{55}\\6x=y+\frac{368}{55}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{-1}{11})\}\)
6. \(\left\{\begin{matrix}2y=\frac{262}{21}+2x\\-x+6y=\frac{191}{21}\end{matrix}\right.\qquad V=\{(\frac{-17}{3},\frac{4}{7})\}\)
7. \(\left\{\begin{matrix}-2x-6y=\frac{749}{117}\\-x=y+\frac{137}{234}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{-17}{13})\}\)
8. \(\left\{\begin{matrix}5y=\frac{55}{2}-5x\\5x+y=\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},6)\}\)
9. \(\left\{\begin{matrix}2x-2y=25\\x+2y=8\end{matrix}\right.\qquad V=\{(11,\frac{-3}{2})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{74}{7}+5x\\-2x-y=\frac{55}{14}\end{matrix}\right.\qquad V=\{(\frac{-19}{7},\frac{3}{2})\}\)
11. \(\left\{\begin{matrix}4x-4y=\frac{12}{17}\\2x=y+\frac{23}{17}\end{matrix}\right.\qquad V=\{(\frac{20}{17},1)\}\)
12. \(\left\{\begin{matrix}4y=\frac{149}{56}+3x\\-x-4y=\frac{327}{56}\end{matrix}\right.\qquad V=\{(\frac{-17}{8},\frac{-13}{14})\}\)