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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-5y=\frac{87}{26}\\4x-5y=\frac{-23}{26}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+y=\frac{-14}{55}\\-2x-2y=\frac{-212}{55}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-y=\frac{51}{76}\\-5x-5y=\frac{1155}{76}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-2y=\frac{-10}{13}\\4x-5y=\frac{-194}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-4y=\frac{-49}{5}\\x=-4y+\frac{21}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{-2248}{187}+4x\\-6x-y=\frac{-652}{187}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-4y=\frac{-41}{6}\\-4x+3y=\frac{4}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-6y=\frac{-110}{21}\\x-5y=\frac{-199}{126}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{-133}{13}+3x\\-4x-y=\frac{53}{39}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+4y=\frac{-1256}{95}\\x=-5y+\frac{-302}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-4y=\frac{12}{5}\\-x=y+\frac{3}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{67}{20}+6x\\-3x-y=\frac{209}{120}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-5y=\frac{87}{26}\\4x-5y=\frac{-23}{26}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{-1}{2})\}\)
2. \(\left\{\begin{matrix}-2x+y=\frac{-14}{55}\\-2x-2y=\frac{-212}{55}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{6}{5})\}\)
3. \(\left\{\begin{matrix}2x-y=\frac{51}{76}\\-5x-5y=\frac{1155}{76}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},\frac{-9}{4})\}\)
4. \(\left\{\begin{matrix}-x-2y=\frac{-10}{13}\\4x-5y=\frac{-194}{13}\end{matrix}\right.\qquad V=\{(-2,\frac{18}{13})\}\)
5. \(\left\{\begin{matrix}-5x-4y=\frac{-49}{5}\\x=-4y+\frac{21}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{7}{10})\}\)
6. \(\left\{\begin{matrix}6y=\frac{-2248}{187}+4x\\-6x-y=\frac{-652}{187}\end{matrix}\right.\qquad V=\{(\frac{14}{17},\frac{-16}{11})\}\)
7. \(\left\{\begin{matrix}x-4y=\frac{-41}{6}\\-4x+3y=\frac{4}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{6},2)\}\)
8. \(\left\{\begin{matrix}-4x-6y=\frac{-110}{21}\\x-5y=\frac{-199}{126}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{4}{9})\}\)
9. \(\left\{\begin{matrix}6y=\frac{-133}{13}+3x\\-4x-y=\frac{53}{39}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{-5}{3})\}\)
10. \(\left\{\begin{matrix}-4x+4y=\frac{-1256}{95}\\x=-5y+\frac{-302}{19}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{-16}{5})\}\)
11. \(\left\{\begin{matrix}-4x-4y=\frac{12}{5}\\-x=y+\frac{3}{5}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{16}{15})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{67}{20}+6x\\-3x-y=\frac{209}{120}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{2}{15})\}\)