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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+y=\frac{-421}{285}\\5x+6y=\frac{-772}{95}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+y=\frac{-163}{72}\\-6x=5y+\frac{-83}{24}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-6y=\frac{22}{3}\\5x=4y+\frac{32}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{-136}{15}-6x\\-2x-y=\frac{-8}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+y=\frac{-386}{19}\\2x=-4y+\frac{-214}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{151}{30}+x\\6x+2y=\frac{67}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{267}{40}-3x\\-3x-y=\frac{237}{40}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-y=\frac{-121}{68}\\-3x=-5y+\frac{-167}{136}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-3y=\frac{103}{5}\\-x-y=\frac{49}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-451}{57}-2x\\-3x-y=\frac{59}{57}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-163}{30}+6x\\x+6y=\frac{267}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+2y=\frac{7}{60}\\-4x=6y+\frac{343}{60}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+y=\frac{-421}{285}\\5x+6y=\frac{-772}{95}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},\frac{-19}{15})\}\)
2. \(\left\{\begin{matrix}5x+y=\frac{-163}{72}\\-6x=5y+\frac{-83}{24}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{13}{8})\}\)
3. \(\left\{\begin{matrix}x-6y=\frac{22}{3}\\5x=4y+\frac{32}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},-1)\}\)
4. \(\left\{\begin{matrix}-5y=\frac{-136}{15}-6x\\-2x-y=\frac{-8}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{4}{3})\}\)
5. \(\left\{\begin{matrix}4x+y=\frac{-386}{19}\\2x=-4y+\frac{-214}{19}\end{matrix}\right.\qquad V=\{(-5,\frac{-6}{19})\}\)
6. \(\left\{\begin{matrix}4y=\frac{151}{30}+x\\6x+2y=\frac{67}{15}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{4}{3})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{267}{40}-3x\\-3x-y=\frac{237}{40}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{-9}{5})\}\)
8. \(\left\{\begin{matrix}6x-y=\frac{-121}{68}\\-3x=-5y+\frac{-167}{136}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-8}{17})\}\)
9. \(\left\{\begin{matrix}-6x-3y=\frac{103}{5}\\-x-y=\frac{49}{15}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{1}{3})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-451}{57}-2x\\-3x-y=\frac{59}{57}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{-5}{3})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-163}{30}+6x\\x+6y=\frac{267}{20}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},\frac{7}{3})\}\)
12. \(\left\{\begin{matrix}-x+2y=\frac{7}{60}\\-4x=6y+\frac{343}{60}\end{matrix}\right.\qquad V=\{(\frac{-13}{15},\frac{-3}{8})\}\)