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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+3y=\frac{19}{2}\\2x=-y+\frac{-49}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+6y=\frac{51}{26}\\6x=-4y+\frac{-295}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+4y=\frac{1494}{323}\\x-4y=\frac{-734}{323}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-3y=\frac{-353}{8}\\3x-y=\frac{-103}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-5y=\frac{-38}{17}\\-x=y+\frac{-28}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{-97}{16}+3x\\x-6y=\frac{75}{16}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-100}{9}-x\\2x-4y=\frac{-220}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+y=\frac{-1631}{34}\\-6x+3y=\frac{945}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-2y=\frac{149}{9}\\-x=-y+\frac{-59}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-4y=\frac{36}{7}\\x=-5y+\frac{-60}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-y=\frac{-29}{3}\\3x=-4y+\frac{41}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{495}{26}\\x=-2y+\frac{-95}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+3y=\frac{19}{2}\\2x=-y+\frac{-49}{10}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},\frac{-1}{2})\}\)
2. \(\left\{\begin{matrix}x+6y=\frac{51}{26}\\6x=-4y+\frac{-295}{13}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{14}{13})\}\)
3. \(\left\{\begin{matrix}-5x+4y=\frac{1494}{323}\\x-4y=\frac{-734}{323}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{8}{19})\}\)
4. \(\left\{\begin{matrix}5x-3y=\frac{-353}{8}\\3x-y=\frac{-103}{8}\end{matrix}\right.\qquad V=\{(\frac{11}{8},17)\}\)
5. \(\left\{\begin{matrix}-2x-5y=\frac{-38}{17}\\-x=y+\frac{-28}{17}\end{matrix}\right.\qquad V=\{(2,\frac{-6}{17})\}\)
6. \(\left\{\begin{matrix}6y=\frac{-97}{16}+3x\\x-6y=\frac{75}{16}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{-2}{3})\}\)
7. \(\left\{\begin{matrix}-y=\frac{-100}{9}-x\\2x-4y=\frac{-220}{9}\end{matrix}\right.\qquad V=\{(-10,\frac{10}{9})\}\)
8. \(\left\{\begin{matrix}5x+y=\frac{-1631}{34}\\-6x+3y=\frac{945}{17}\end{matrix}\right.\qquad V=\{(\frac{-19}{2},\frac{-8}{17})\}\)
9. \(\left\{\begin{matrix}6x-2y=\frac{149}{9}\\-x=-y+\frac{-59}{18}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-7}{9})\}\)
10. \(\left\{\begin{matrix}-2x-4y=\frac{36}{7}\\x=-5y+\frac{-60}{7}\end{matrix}\right.\qquad V=\{(\frac{10}{7},-2)\}\)
11. \(\left\{\begin{matrix}-2x-y=\frac{-29}{3}\\3x=-4y+\frac{41}{3}\end{matrix}\right.\qquad V=\{(5,\frac{-1}{3})\}\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{495}{26}\\x=-2y+\frac{-95}{13}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},\frac{-7}{2})\}\)