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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-709}{20}+3x\\4x-5y=\frac{203}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{290}{247}-4x\\3x-6y=\frac{-2091}{247}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+5y=\frac{358}{19}\\4x=-5y+\frac{406}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=51-6x\\-4x-y=\frac{-53}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-3y=\frac{23}{15}\\x=-y+\frac{-7}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-y=\frac{-10}{3}\\2x+3y=8\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-4y=\frac{-11}{35}\\-5x=2y+\frac{-253}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+2y=\frac{5}{19}\\-x+y=\frac{-43}{38}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-6y=\frac{-221}{10}\\-4x+4y=\frac{82}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-y=\frac{98}{11}\\5x+2y=\frac{-1}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{133}{10}+6x\\x+6y=\frac{6}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-2y=\frac{-91}{9}\\3x-y=\frac{-91}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-709}{20}+3x\\4x-5y=\frac{203}{4}\end{matrix}\right.\qquad V=\{(12,\frac{-11}{20})\}\)
2. \(\left\{\begin{matrix}y=\frac{290}{247}-4x\\3x-6y=\frac{-2091}{247}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{18}{13})\}\)
3. \(\left\{\begin{matrix}x+5y=\frac{358}{19}\\4x=-5y+\frac{406}{19}\end{matrix}\right.\qquad V=\{(\frac{16}{19},\frac{18}{5})\}\)
4. \(\left\{\begin{matrix}6y=51-6x\\-4x-y=\frac{-53}{2}\end{matrix}\right.\qquad V=\{(6,\frac{5}{2})\}\)
5. \(\left\{\begin{matrix}-4x-3y=\frac{23}{15}\\x=-y+\frac{-7}{30}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{3}{5})\}\)
6. \(\left\{\begin{matrix}-x-y=\frac{-10}{3}\\2x+3y=8\end{matrix}\right.\qquad V=\{(2,\frac{4}{3})\}\)
7. \(\left\{\begin{matrix}x-4y=\frac{-11}{35}\\-5x=2y+\frac{-253}{35}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{2}{5})\}\)
8. \(\left\{\begin{matrix}2x+2y=\frac{5}{19}\\-x+y=\frac{-43}{38}\end{matrix}\right.\qquad V=\{(\frac{12}{19},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}x-6y=\frac{-221}{10}\\-4x+4y=\frac{82}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{18}{5})\}\)
10. \(\left\{\begin{matrix}5x-y=\frac{98}{11}\\5x+2y=\frac{-1}{11}\end{matrix}\right.\qquad V=\{(\frac{13}{11},-3)\}\)
11. \(\left\{\begin{matrix}5y=\frac{133}{10}+6x\\x+6y=\frac{6}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}6x-2y=\frac{-91}{9}\\3x-y=\frac{-91}{18}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{19}{18})\}\)