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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-2y=\frac{-139}{45}\\4x=y+\frac{293}{90}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{-261}{65}+3x\\4x-y=\frac{-152}{65}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{41}{57}+2x\\x-6y=\frac{8}{57}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{41}{10}+x\\-4x+2y=\frac{-8}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+3y=\frac{27}{14}\\2x-y=\frac{-22}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+y=\frac{-551}{153}\\-5x=4y+\frac{1016}{153}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+5y=\frac{-439}{11}\\5x-y=\frac{29}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-y=\frac{23}{5}\\-6x=2y+\frac{46}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-2y=\frac{-67}{5}\\3x-y=\frac{49}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-y=\frac{11}{14}\\5x+5y=\frac{-25}{42}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+y=-2\\5x=-6y+3\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+5y=\frac{3}{2}\\-6x=2y+\frac{11}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-2y=\frac{-139}{45}\\4x=y+\frac{293}{90}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-1}{18})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{-261}{65}+3x\\4x-y=\frac{-152}{65}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{20}{13})\}\)
3. \(\left\{\begin{matrix}3y=\frac{41}{57}+2x\\x-6y=\frac{8}{57}\end{matrix}\right.\qquad V=\{(\frac{-10}{19},\frac{-1}{9})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{41}{10}+x\\-4x+2y=\frac{-8}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},-1)\}\)
5. \(\left\{\begin{matrix}-3x+3y=\frac{27}{14}\\2x-y=\frac{-22}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-13}{7})\}\)
6. \(\left\{\begin{matrix}4x+y=\frac{-551}{153}\\-5x=4y+\frac{1016}{153}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{-7}{9})\}\)
7. \(\left\{\begin{matrix}-4x+5y=\frac{-439}{11}\\5x-y=\frac{29}{11}\end{matrix}\right.\qquad V=\{(\frac{-14}{11},-9)\}\)
8. \(\left\{\begin{matrix}-3x-y=\frac{23}{5}\\-6x=2y+\frac{46}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{12}{5})\}\)
9. \(\left\{\begin{matrix}-5x-2y=\frac{-67}{5}\\3x-y=\frac{49}{5}\end{matrix}\right.\qquad V=\{(3,\frac{-4}{5})\}\)
10. \(\left\{\begin{matrix}3x-y=\frac{11}{14}\\5x+5y=\frac{-25}{42}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-2}{7})\}\)
11. \(\left\{\begin{matrix}5x+y=-2\\5x=-6y+3\end{matrix}\right.\qquad V=\{(\frac{-3}{5},1)\}\)
12. \(\left\{\begin{matrix}-x+5y=\frac{3}{2}\\-6x=2y+\frac{11}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{1}{6})\}\)