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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+5y=\frac{755}{52}\\-x=5y+\frac{-391}{52}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+y=\frac{1}{14}\\4x+2y=\frac{-23}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{-45}{14}+3x\\3x-y=\frac{99}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-2y=\frac{-58}{95}\\5x=y+\frac{-23}{38}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+y=\frac{-31}{8}\\6x=-4y+\frac{-49}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-4y=\frac{-427}{45}\\3x=y+\frac{-319}{180}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{-439}{65}+6x\\-6x-y=\frac{-119}{65}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+2y=\frac{177}{16}\\2x=-y+\frac{25}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+6y=\frac{-309}{40}\\x=y+\frac{29}{40}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+3y=84\\x+6y=102\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-5y=\frac{-67}{2}\\x+5y=29\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-3y=\frac{-5}{2}\\-2x=-4y+5\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+5y=\frac{755}{52}\\-x=5y+\frac{-391}{52}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{15}{13})\}\)
2. \(\left\{\begin{matrix}-x+y=\frac{1}{14}\\4x+2y=\frac{-23}{7}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{-45}{14}+3x\\3x-y=\frac{99}{14}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{-9}{14})\}\)
4. \(\left\{\begin{matrix}4x-2y=\frac{-58}{95}\\5x=y+\frac{-23}{38}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{2}{19})\}\)
5. \(\left\{\begin{matrix}4x+y=\frac{-31}{8}\\6x=-4y+\frac{-49}{8}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{-1}{8})\}\)
6. \(\left\{\begin{matrix}-4x-4y=\frac{-427}{45}\\3x=y+\frac{-319}{180}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{20}{9})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{-439}{65}+6x\\-6x-y=\frac{-119}{65}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{16}{13})\}\)
8. \(\left\{\begin{matrix}-3x+2y=\frac{177}{16}\\2x=-y+\frac{25}{8}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},\frac{9}{2})\}\)
9. \(\left\{\begin{matrix}3x+6y=\frac{-309}{40}\\x=y+\frac{29}{40}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-11}{10})\}\)
10. \(\left\{\begin{matrix}-5x+3y=84\\x+6y=102\end{matrix}\right.\qquad V=\{(-6,18)\}\)
11. \(\left\{\begin{matrix}-4x-5y=\frac{-67}{2}\\x+5y=29\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{11}{2})\}\)
12. \(\left\{\begin{matrix}-x-3y=\frac{-5}{2}\\-2x=-4y+5\end{matrix}\right.\qquad V=\{(\frac{-1}{2},1)\}\)