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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+6y=\frac{-214}{55}\\5x+y=\frac{413}{165}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{-67}{14}\\-x+2y=\frac{-43}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{673}{70}-6x\\-x-6y=\frac{1109}{140}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-5y=\frac{1201}{95}\\-2x+y=\frac{-719}{95}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+5y=\frac{239}{80}\\5x+2y=\frac{-25}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+3y=\frac{27}{5}\\-4x-y=\frac{-34}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+2y=\frac{68}{35}\\3x-2y=\frac{92}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-5y=\frac{-106}{9}\\-x=2y+\frac{-28}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-3y=\frac{-167}{17}\\-x=5y+\frac{-183}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+y=\frac{299}{8}\\3x=6y+\frac{-99}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=6-3x\\2x-y=3\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-2y=\frac{-158}{57}\\4x=y+\frac{-332}{171}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+6y=\frac{-214}{55}\\5x+y=\frac{413}{165}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{-17}{15})\}\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{-67}{14}\\-x+2y=\frac{-43}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{-3}{2})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{673}{70}-6x\\-x-6y=\frac{1109}{140}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{-10}{7})\}\)
4. \(\left\{\begin{matrix}3x-5y=\frac{1201}{95}\\-2x+y=\frac{-719}{95}\end{matrix}\right.\qquad V=\{(\frac{18}{5},\frac{-7}{19})\}\)
5. \(\left\{\begin{matrix}-x+5y=\frac{239}{80}\\5x+2y=\frac{-25}{8}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{7}{16})\}\)
6. \(\left\{\begin{matrix}2x+3y=\frac{27}{5}\\-4x-y=\frac{-34}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{4}{5})\}\)
7. \(\left\{\begin{matrix}x+2y=\frac{68}{35}\\3x-2y=\frac{92}{35}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{2}{5})\}\)
8. \(\left\{\begin{matrix}2x-5y=\frac{-106}{9}\\-x=2y+\frac{-28}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},2)\}\)
9. \(\left\{\begin{matrix}-5x-3y=\frac{-167}{17}\\-x=5y+\frac{-183}{17}\end{matrix}\right.\qquad V=\{(\frac{13}{17},2)\}\)
10. \(\left\{\begin{matrix}-4x+y=\frac{299}{8}\\3x=6y+\frac{-99}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{2},\frac{-5}{8})\}\)
11. \(\left\{\begin{matrix}-6y=6-3x\\2x-y=3\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-1}{3})\}\)
12. \(\left\{\begin{matrix}3x-2y=\frac{-158}{57}\\4x=y+\frac{-332}{171}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{20}{19})\}\)