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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-5y=\frac{-134}{33}\\-3x=-y+\frac{-874}{165}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-13}{12}-3x\\-x-2y=\frac{-19}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-4y=\frac{53}{15}\\5x=-5y+\frac{-20}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{-241}{19}-6x\\3x-y=\frac{-97}{38}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{101}{10}-2x\\6x+4y=\frac{148}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{23}{3}-2x\\-2x-y=\frac{-11}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-32}{15}\\-5x=y+\frac{83}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-198}{247}-x\\-3x+6y=\frac{-1278}{247}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{1094}{63}+4x\\-6x+y=\frac{-53}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{1}{35}-4x\\-x-3y=\frac{-114}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+y=\frac{131}{8}\\-6x+3y=\frac{-55}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-y=\frac{137}{80}\\3x=-5y+\frac{-397}{80}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-5y=\frac{-134}{33}\\-3x=-y+\frac{-874}{165}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{-14}{15})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-13}{12}-3x\\-x-2y=\frac{-19}{12}\end{matrix}\right.\qquad V=\{(\frac{5}{12},\frac{7}{12})\}\)
3. \(\left\{\begin{matrix}-x-4y=\frac{53}{15}\\5x=-5y+\frac{-20}{3}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{-11}{15})\}\)
4. \(\left\{\begin{matrix}6y=\frac{-241}{19}-6x\\3x-y=\frac{-97}{38}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{-18}{19})\}\)
5. \(\left\{\begin{matrix}-y=\frac{101}{10}-2x\\6x+4y=\frac{148}{5}\end{matrix}\right.\qquad V=\{(5,\frac{-1}{10})\}\)
6. \(\left\{\begin{matrix}3y=\frac{23}{3}-2x\\-2x-y=\frac{-11}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{6},2)\}\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-32}{15}\\-5x=y+\frac{83}{45}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-11}{15})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-198}{247}-x\\-3x+6y=\frac{-1278}{247}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{-12}{19})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{1094}{63}+4x\\-6x+y=\frac{-53}{21}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{-20}{7})\}\)
10. \(\left\{\begin{matrix}2y=\frac{1}{35}-4x\\-x-3y=\frac{-114}{35}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{13}{10})\}\)
11. \(\left\{\begin{matrix}6x+y=\frac{131}{8}\\-6x+3y=\frac{-55}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{19}{8})\}\)
12. \(\left\{\begin{matrix}-3x-y=\frac{137}{80}\\3x=-5y+\frac{-397}{80}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-13}{16})\}\)