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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{22}{13}+x\\-6x-5y=\frac{-43}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-6y=9\\6x=y+\frac{-43}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{175}{39}-2x\\-x+6y=\frac{112}{65}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+3y=\frac{81}{16}\\2x-y=\frac{45}{16}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-6y=\frac{276}{19}\\-x=4y+\frac{160}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+2y=\frac{-638}{95}\\4x=-y+\frac{-419}{95}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-y=\frac{-13}{16}\\-5x-2y=\frac{-49}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-4y=\frac{-127}{33}\\5x-y=\frac{181}{132}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+y=\frac{-19}{8}\\3x-2y=\frac{23}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+4y=\frac{413}{95}\\-x=-y+\frac{146}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{-5}{3}-5x\\-x-2y=\frac{-1}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{-141}{19}-3x\\x+4y=\frac{-181}{57}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{22}{13}+x\\-6x-5y=\frac{-43}{13}\end{matrix}\right.\qquad V=\{(1,\frac{-7}{13})\}\)
2. \(\left\{\begin{matrix}-2x-6y=9\\6x=y+\frac{-43}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-2}{3})\}\)
3. \(\left\{\begin{matrix}5y=\frac{175}{39}-2x\\-x+6y=\frac{112}{65}\end{matrix}\right.\qquad V=\{(\frac{14}{13},\frac{7}{15})\}\)
4. \(\left\{\begin{matrix}6x+3y=\frac{81}{16}\\2x-y=\frac{45}{16}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{-9}{16})\}\)
5. \(\left\{\begin{matrix}-6x-6y=\frac{276}{19}\\-x=4y+\frac{160}{19}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},-2)\}\)
6. \(\left\{\begin{matrix}6x+2y=\frac{-638}{95}\\4x=-y+\frac{-419}{95}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{-1}{5})\}\)
7. \(\left\{\begin{matrix}-x-y=\frac{-13}{16}\\-5x-2y=\frac{-49}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-11}{16})\}\)
8. \(\left\{\begin{matrix}4x-4y=\frac{-127}{33}\\5x-y=\frac{181}{132}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{17}{11})\}\)
9. \(\left\{\begin{matrix}-5x+y=\frac{-19}{8}\\3x-2y=\frac{23}{10}\end{matrix}\right.\qquad V=\{(\frac{7}{20},\frac{-5}{8})\}\)
10. \(\left\{\begin{matrix}-3x+4y=\frac{413}{95}\\-x=-y+\frac{146}{95}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-5}{19})\}\)
11. \(\left\{\begin{matrix}5y=\frac{-5}{3}-5x\\-x-2y=\frac{-1}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{2}{3})\}\)
12. \(\left\{\begin{matrix}2y=\frac{-141}{19}-3x\\x+4y=\frac{-181}{57}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-4}{19})\}\)