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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-90}{7}-5x\\x-6y=\frac{-5}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-5y=\frac{37}{3}\\-6x-y=7\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-y=\frac{293}{8}\\6x-5y=\frac{889}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-2y=\frac{343}{90}\\-6x+y=\frac{-301}{60}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+y=\frac{-153}{26}\\5x+3y=\frac{-321}{26}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{657}{133}\\-4x+y=\frac{960}{133}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+3y=\frac{-131}{68}\\6x+y=\frac{-905}{68}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-59}{10}-6x\\-x+5y=\frac{-19}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+4y=\frac{196}{5}\\-4x-4y=\frac{-244}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{83}{8}+6x\\x-y=\frac{-83}{48}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+y=\frac{-379}{117}\\-2x=-6y+\frac{-86}{39}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-4y=\frac{136}{9}\\-x+5y=\frac{-182}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-90}{7}-5x\\x-6y=\frac{-5}{7}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},\frac{-5}{14})\}\)
2. \(\left\{\begin{matrix}4x-5y=\frac{37}{3}\\-6x-y=7\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-3)\}\)
3. \(\left\{\begin{matrix}2x-y=\frac{293}{8}\\6x-5y=\frac{889}{8}\end{matrix}\right.\qquad V=\{(18,\frac{-5}{8})\}\)
4. \(\left\{\begin{matrix}4x-2y=\frac{343}{90}\\-6x+y=\frac{-301}{60}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-7}{20})\}\)
5. \(\left\{\begin{matrix}-6x+y=\frac{-153}{26}\\5x+3y=\frac{-321}{26}\end{matrix}\right.\qquad V=\{(\frac{3}{13},\frac{-9}{2})\}\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{657}{133}\\-4x+y=\frac{960}{133}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{-4}{19})\}\)
7. \(\left\{\begin{matrix}2x+3y=\frac{-131}{68}\\6x+y=\frac{-905}{68}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{16}{17})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-59}{10}-6x\\-x+5y=\frac{-19}{12}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-7}{15})\}\)
9. \(\left\{\begin{matrix}x+4y=\frac{196}{5}\\-4x-4y=\frac{-244}{5}\end{matrix}\right.\qquad V=\{(\frac{16}{5},9)\}\)
10. \(\left\{\begin{matrix}6y=\frac{83}{8}+6x\\x-y=\frac{-83}{48}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{13}{6})\}\)
11. \(\left\{\begin{matrix}2x+y=\frac{-379}{117}\\-2x=-6y+\frac{-86}{39}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{-7}{9})\}\)
12. \(\left\{\begin{matrix}-4x-4y=\frac{136}{9}\\-x+5y=\frac{-182}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{9},-4)\}\)