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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{632}{133}+5x\\x+y=\frac{8}{133}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+5y=\frac{611}{18}\\4x=-5y+\frac{277}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-404}{91}+2x\\2x+y=\frac{92}{91}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+3y=\frac{-3}{5}\\-6x+y=-5\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-46}{7}-4x\\3x-y=\frac{-41}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-5y=\frac{-287}{10}\\-3x=-y+\frac{49}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{110}{57}-4x\\4x-6y=\frac{-100}{57}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-y=\frac{-17}{12}\\-6x=-6y+\frac{35}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-3y=\frac{-214}{5}\\-x=6y+\frac{-43}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+5y=\frac{94}{21}\\-4x-y=\frac{-202}{105}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{30}{7}+2x\\-5x-y=\frac{-6}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-151}{14}-2x\\5x+y=\frac{165}{28}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{632}{133}+5x\\x+y=\frac{8}{133}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{12}{19})\}\)
2. \(\left\{\begin{matrix}x+5y=\frac{611}{18}\\4x=-5y+\frac{277}{9}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},7)\}\)
3. \(\left\{\begin{matrix}2y=\frac{-404}{91}+2x\\2x+y=\frac{92}{91}\end{matrix}\right.\qquad V=\{(\frac{14}{13},\frac{-8}{7})\}\)
4. \(\left\{\begin{matrix}-2x+3y=\frac{-3}{5}\\-6x+y=-5\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{2}{5})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-46}{7}-4x\\3x-y=\frac{-41}{14}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},1)\}\)
6. \(\left\{\begin{matrix}-6x-5y=\frac{-287}{10}\\-3x=-y+\frac{49}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{11}{2})\}\)
7. \(\left\{\begin{matrix}-y=\frac{110}{57}-4x\\4x-6y=\frac{-100}{57}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{14}{19})\}\)
8. \(\left\{\begin{matrix}3x-y=\frac{-17}{12}\\-6x=-6y+\frac{35}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{11}{3})\}\)
9. \(\left\{\begin{matrix}-4x-3y=\frac{-214}{5}\\-x=6y+\frac{-43}{5}\end{matrix}\right.\qquad V=\{(11,\frac{-2}{5})\}\)
10. \(\left\{\begin{matrix}-4x+5y=\frac{94}{21}\\-4x-y=\frac{-202}{105}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{16}{15})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{30}{7}+2x\\-5x-y=\frac{-6}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-9}{7})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-151}{14}-2x\\5x+y=\frac{165}{28}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{-20}{7})\}\)