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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-5y=\frac{175}{24}\\-5x=3y+\frac{217}{24}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-y=\frac{187}{72}\\-6x=3y+\frac{-109}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+2y=\frac{-41}{6}\\-x=-5y+\frac{-11}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+5y=\frac{-341}{38}\\-2x-y=\frac{85}{38}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{88}{19}-3x\\2x+y=\frac{63}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{65}{7}+2x\\-3x-y=\frac{85}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-3y=\frac{264}{13}\\-3x+3y=\frac{-300}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+4y=48\\2x+y=\frac{29}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{46}{57}\\-6x=y+\frac{64}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+5y=\frac{197}{90}\\-2x=-y+\frac{89}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{1214}{95}-4x\\-6x+y=\frac{-149}{95}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-y=\frac{-61}{10}\\4x-4y=\frac{18}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-5y=\frac{175}{24}\\-5x=3y+\frac{217}{24}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-13}{8})\}\)
2. \(\left\{\begin{matrix}3x-y=\frac{187}{72}\\-6x=3y+\frac{-109}{12}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{7}{9})\}\)
3. \(\left\{\begin{matrix}-5x+2y=\frac{-41}{6}\\-x=-5y+\frac{-11}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-1}{2})\}\)
4. \(\left\{\begin{matrix}4x+5y=\frac{-341}{38}\\-2x-y=\frac{85}{38}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{-3}{2})\}\)
5. \(\left\{\begin{matrix}2y=\frac{88}{19}-3x\\2x+y=\frac{63}{19}\end{matrix}\right.\qquad V=\{(2,\frac{-13}{19})\}\)
6. \(\left\{\begin{matrix}3y=\frac{65}{7}+2x\\-3x-y=\frac{85}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{10}{7})\}\)
7. \(\left\{\begin{matrix}-x-3y=\frac{264}{13}\\-3x+3y=\frac{-300}{13}\end{matrix}\right.\qquad V=\{(\frac{9}{13},-7)\}\)
8. \(\left\{\begin{matrix}6x+4y=48\\2x+y=\frac{29}{3}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},19)\}\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{46}{57}\\-6x=y+\frac{64}{19}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{12}{19})\}\)
10. \(\left\{\begin{matrix}-3x+5y=\frac{197}{90}\\-2x=-y+\frac{89}{45}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},\frac{-2}{9})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{1214}{95}-4x\\-6x+y=\frac{-149}{95}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},\frac{-11}{5})\}\)
12. \(\left\{\begin{matrix}-6x-y=\frac{-61}{10}\\4x-4y=\frac{18}{5}\end{matrix}\right.\qquad V=\{(1,\frac{1}{10})\}\)