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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-y=\frac{-161}{2}\\-3x=-2y+-47\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+5y=\frac{-89}{9}\\-2x=y+\frac{16}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-5y=\frac{61}{4}\\-2x+2y=\frac{-57}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+6y=\frac{696}{35}\\-x-2y=\frac{-232}{35}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+6y=31\\-2x-y=\frac{-16}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-67}{10}+6x\\-x-6y=\frac{883}{60}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-71}{10}-x\\-2x-6y=\frac{71}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{9}{20}+3x\\x+y=\frac{9}{40}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{-22}{3}-x\\6x-3y=\frac{-7}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=-19-6x\\x-y=\frac{8}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{-118}{33}\\x=6y+\frac{-83}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+y=\frac{-64}{5}\\-5x=4y+\frac{91}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-y=\frac{-161}{2}\\-3x=-2y+-47\end{matrix}\right.\qquad V=\{(16,\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}4x+5y=\frac{-89}{9}\\-2x=y+\frac{16}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-19}{9})\}\)
3. \(\left\{\begin{matrix}x-5y=\frac{61}{4}\\-2x+2y=\frac{-57}{2}\end{matrix}\right.\qquad V=\{(14,\frac{-1}{4})\}\)
4. \(\left\{\begin{matrix}3x+6y=\frac{696}{35}\\-x-2y=\frac{-232}{35}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{13}{5})\}\)
5. \(\left\{\begin{matrix}6x+6y=31\\-2x-y=\frac{-16}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{6},5)\}\)
6. \(\left\{\begin{matrix}4y=\frac{-67}{10}+6x\\-x-6y=\frac{883}{60}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{-19}{8})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-71}{10}-x\\-2x-6y=\frac{71}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{10},-3)\}\)
8. \(\left\{\begin{matrix}-6y=\frac{9}{20}+3x\\x+y=\frac{9}{40}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-3}{8})\}\)
9. \(\left\{\begin{matrix}4y=\frac{-22}{3}-x\\6x-3y=\frac{-7}{2}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-3}{2})\}\)
10. \(\left\{\begin{matrix}5y=-19-6x\\x-y=\frac{8}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-13}{5})\}\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{-118}{33}\\x=6y+\frac{-83}{11}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{7}{6})\}\)
12. \(\left\{\begin{matrix}4x+y=\frac{-64}{5}\\-5x=4y+\frac{91}{5}\end{matrix}\right.\qquad V=\{(-3,\frac{-4}{5})\}\)