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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+3y=\frac{-55}{76}\\-2x-2y=\frac{-7}{38}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-2y=2\\5x+y=8\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+4y=\frac{-80}{19}\\-x=-6y+\frac{-115}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-4y=\frac{29}{13}\\6x+6y=\frac{-231}{26}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+6y=\frac{79}{10}\\-x+y=\frac{61}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-3y=\frac{-19}{6}\\x=3y+\frac{-29}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{507}{70}-6x\\5x+5y=\frac{341}{42}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=-13+2x\\x-6y=\frac{31}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-3y=\frac{-284}{19}\\6x-y=\frac{-1626}{95}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+6y=\frac{-232}{15}\\x=-6y+\frac{-61}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+3y=-16\\-4x=2y+-6\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+2y=\frac{35}{39}\\-3x=y+\frac{-8}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+3y=\frac{-55}{76}\\-2x-2y=\frac{-7}{38}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-3}{19})\}\)
2. \(\left\{\begin{matrix}5x-2y=2\\5x+y=8\end{matrix}\right.\qquad V=\{(\frac{6}{5},2)\}\)
3. \(\left\{\begin{matrix}-4x+4y=\frac{-80}{19}\\-x=-6y+\frac{-115}{19}\end{matrix}\right.\qquad V=\{(\frac{1}{19},-1)\}\)
4. \(\left\{\begin{matrix}-x-4y=\frac{29}{13}\\6x+6y=\frac{-231}{26}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{-1}{4})\}\)
5. \(\left\{\begin{matrix}2x+6y=\frac{79}{10}\\-x+y=\frac{61}{20}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{7}{4})\}\)
6. \(\left\{\begin{matrix}-4x-3y=\frac{-19}{6}\\x=3y+\frac{-29}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{3}{2})\}\)
7. \(\left\{\begin{matrix}-y=\frac{507}{70}-6x\\5x+5y=\frac{341}{42}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{5}{14})\}\)
8. \(\left\{\begin{matrix}6y=-13+2x\\x-6y=\frac{31}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},-3)\}\)
9. \(\left\{\begin{matrix}5x-3y=\frac{-284}{19}\\6x-y=\frac{-1626}{95}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{6}{19})\}\)
10. \(\left\{\begin{matrix}-6x+6y=\frac{-232}{15}\\x=-6y+\frac{-61}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{15},\frac{-19}{9})\}\)
11. \(\left\{\begin{matrix}x+3y=-16\\-4x=2y+-6\end{matrix}\right.\qquad V=\{(5,-7)\}\)
12. \(\left\{\begin{matrix}5x+2y=\frac{35}{39}\\-3x=y+\frac{-8}{13}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-5}{13})\}\)