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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+y=\frac{-137}{110}\\2x=-3y+\frac{709}{110}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=3+3x\\2x-y=\frac{-29}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-1}{2}-2x\\-x+2y=\frac{1}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{-521}{8}+6x\\-x+3y=\frac{-63}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=-24-3x\\-2x+4y=21\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-y=\frac{-343}{8}\\5x=-5y+\frac{-245}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-y=\frac{77}{30}\\-3x+6y=\frac{121}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-5y=\frac{799}{45}\\x+6y=\frac{-136}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+3y=\frac{-514}{13}\\2x+y=\frac{-198}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+y=\frac{210}{19}\\-5x+6y=\frac{-70}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+y=\frac{-61}{5}\\3x+3y=\frac{-183}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-6y=\frac{213}{40}\\x=6y+\frac{149}{40}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+y=\frac{-137}{110}\\2x=-3y+\frac{709}{110}\end{matrix}\right.\qquad V=\{(\frac{14}{11},\frac{13}{10})\}\)
2. \(\left\{\begin{matrix}6y=3+3x\\2x-y=\frac{-29}{10}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-3}{10})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-1}{2}-2x\\-x+2y=\frac{1}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{3}{4})\}\)
4. \(\left\{\begin{matrix}5y=\frac{-521}{8}+6x\\-x+3y=\frac{-63}{8}\end{matrix}\right.\qquad V=\{(12,\frac{11}{8})\}\)
5. \(\left\{\begin{matrix}-y=-24-3x\\-2x+4y=21\end{matrix}\right.\qquad V=\{(\frac{-15}{2},\frac{3}{2})\}\)
6. \(\left\{\begin{matrix}6x-y=\frac{-343}{8}\\5x=-5y+\frac{-245}{8}\end{matrix}\right.\qquad V=\{(-7,\frac{7}{8})\}\)
7. \(\left\{\begin{matrix}-5x-y=\frac{77}{30}\\-3x+6y=\frac{121}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{8}{5})\}\)
8. \(\left\{\begin{matrix}2x-5y=\frac{799}{45}\\x+6y=\frac{-136}{15}\end{matrix}\right.\qquad V=\{(\frac{18}{5},\frac{-19}{9})\}\)
9. \(\left\{\begin{matrix}-4x+3y=\frac{-514}{13}\\2x+y=\frac{-198}{13}\end{matrix}\right.\qquad V=\{(\frac{-8}{13},-14)\}\)
10. \(\left\{\begin{matrix}5x+y=\frac{210}{19}\\-5x+6y=\frac{-70}{19}\end{matrix}\right.\qquad V=\{(2,\frac{20}{19})\}\)
11. \(\left\{\begin{matrix}x+y=\frac{-61}{5}\\3x+3y=\frac{-183}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},-13)\}\)
12. \(\left\{\begin{matrix}-3x-6y=\frac{213}{40}\\x=6y+\frac{149}{40}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-11}{16})\}\)