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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-3y=\frac{-217}{12}\\4x-6y=\frac{-103}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-y=\frac{-3}{38}\\5x+2y=\frac{-1}{114}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{1}{6}+4x\\-x-4y=\frac{-7}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-2y=\frac{1448}{221}\\-x=6y+\frac{-569}{221}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+5y=\frac{101}{18}\\6x=2y+\frac{-23}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{233}{187}+x\\-3x+4y=\frac{864}{187}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+6y=\frac{-321}{5}\\-x-5y=25\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=4-3x\\4x-y=\frac{-29}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-6y=\frac{106}{5}\\-x+6y=\frac{-41}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{11}{16}\\-6x=y+\frac{-65}{16}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-y=\frac{107}{39}\\3x=3y+\frac{55}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+2y=\frac{-7}{5}\\-5x=y+\frac{7}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-3y=\frac{-217}{12}\\4x-6y=\frac{-103}{3}\end{matrix}\right.\qquad V=\{(\frac{11}{12},\frac{19}{3})\}\)
2. \(\left\{\begin{matrix}-3x-y=\frac{-3}{38}\\5x+2y=\frac{-1}{114}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-8}{19})\}\)
3. \(\left\{\begin{matrix}3y=\frac{1}{6}+4x\\-x-4y=\frac{-7}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}-6x-2y=\frac{1448}{221}\\-x=6y+\frac{-569}{221}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},\frac{11}{17})\}\)
5. \(\left\{\begin{matrix}-x+5y=\frac{101}{18}\\6x=2y+\frac{-23}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{10}{9})\}\)
6. \(\left\{\begin{matrix}y=\frac{233}{187}+x\\-3x+4y=\frac{864}{187}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},\frac{15}{17})\}\)
7. \(\left\{\begin{matrix}5x+6y=\frac{-321}{5}\\-x-5y=25\end{matrix}\right.\qquad V=\{(-9,\frac{-16}{5})\}\)
8. \(\left\{\begin{matrix}-4y=4-3x\\4x-y=\frac{-29}{10}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-19}{10})\}\)
9. \(\left\{\begin{matrix}-6x-6y=\frac{106}{5}\\-x+6y=\frac{-41}{30}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{-7}{10})\}\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{11}{16}\\-6x=y+\frac{-65}{16}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-7}{16})\}\)
11. \(\left\{\begin{matrix}2x-y=\frac{107}{39}\\3x=3y+\frac{55}{13}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-1}{13})\}\)
12. \(\left\{\begin{matrix}3x+2y=\frac{-7}{5}\\-5x=y+\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{1}{2})\}\)