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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-307}{22}+2x\\-x-y=\frac{-71}{22}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{391}{48}\\-4x-y=\frac{17}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-y=-18\\-3x+4y=39\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+3y=\frac{28}{99}\\3x+y=\frac{181}{66}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+4y=\frac{-256}{323}\\5x+6y=\frac{-1372}{323}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-81}{13}-4x\\5x-y=\frac{-899}{52}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+y=\frac{-128}{11}\\-4x=-2y+\frac{-135}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=0-2x\\-x-6y=\frac{-14}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+4y=\frac{179}{77}\\6x=y+\frac{-743}{77}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+5y=\frac{271}{12}\\-x=y+\frac{-83}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-3y=\frac{-189}{44}\\x=-5y+\frac{-943}{88}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-4y=-10\\x=y+\frac{-50}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-307}{22}+2x\\-x-y=\frac{-71}{22}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{5}{2})\}\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{391}{48}\\-4x-y=\frac{17}{3}\end{matrix}\right.\qquad V=\{(\frac{-17}{16},\frac{-17}{12})\}\)
3. \(\left\{\begin{matrix}-2x-y=-18\\-3x+4y=39\end{matrix}\right.\qquad V=\{(3,12)\}\)
4. \(\left\{\begin{matrix}-4x+3y=\frac{28}{99}\\3x+y=\frac{181}{66}\end{matrix}\right.\qquad V=\{(\frac{11}{18},\frac{10}{11})\}\)
5. \(\left\{\begin{matrix}-x+4y=\frac{-256}{323}\\5x+6y=\frac{-1372}{323}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{-6}{19})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-81}{13}-4x\\5x-y=\frac{-899}{52}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{-19}{13})\}\)
7. \(\left\{\begin{matrix}-4x+y=\frac{-128}{11}\\-4x=-2y+\frac{-135}{11}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{-7}{11})\}\)
8. \(\left\{\begin{matrix}-2y=0-2x\\-x-6y=\frac{-14}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{2}{5})\}\)
9. \(\left\{\begin{matrix}-3x+4y=\frac{179}{77}\\6x=y+\frac{-743}{77}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},\frac{-5}{7})\}\)
10. \(\left\{\begin{matrix}3x+5y=\frac{271}{12}\\-x=y+\frac{-83}{12}\end{matrix}\right.\qquad V=\{(6,\frac{11}{12})\}\)
11. \(\left\{\begin{matrix}6x-3y=\frac{-189}{44}\\x=-5y+\frac{-943}{88}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{-20}{11})\}\)
12. \(\left\{\begin{matrix}-6x-4y=-10\\x=y+\frac{-50}{3}\end{matrix}\right.\qquad V=\{(\frac{-17}{3},11)\}\)