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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+5y=35\\x=-y+7\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{7}{24}+x\\6x+4y=\frac{-85}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+y=\frac{313}{304}\\3x=-5y+\frac{1337}{304}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+5y=\frac{2}{5}\\-5x=-5y+-6\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{-29}{30}-2x\\-x-3y=\frac{-1}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{23}{17}+3x\\-6x+2y=\frac{46}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{-2}{3}\\x=y+\frac{5}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+5y=\frac{58}{13}\\-x-y=\frac{32}{65}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+2y=10\\-x=y+-1\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-4y=\frac{-229}{45}\\6x=-2y+\frac{164}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+6y=\frac{-311}{65}\\-x=5y+\frac{631}{130}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-5y=\frac{89}{20}\\x=y+\frac{-6}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+5y=35\\x=-y+7\end{matrix}\right.\qquad V=\{(9,-2)\}\)
2. \(\left\{\begin{matrix}-2y=\frac{7}{24}+x\\6x+4y=\frac{-85}{12}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{2}{3})\}\)
3. \(\left\{\begin{matrix}3x+y=\frac{313}{304}\\3x=-5y+\frac{1337}{304}\end{matrix}\right.\qquad V=\{(\frac{1}{16},\frac{16}{19})\}\)
4. \(\left\{\begin{matrix}-x+5y=\frac{2}{5}\\-5x=-5y+-6\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{2}{5})\}\)
5. \(\left\{\begin{matrix}5y=\frac{-29}{30}-2x\\-x-3y=\frac{-1}{10}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{7}{6})\}\)
6. \(\left\{\begin{matrix}y=\frac{23}{17}+3x\\-6x+2y=\frac{46}{17}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-11}{17})\}\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{-2}{3}\\x=y+\frac{5}{2}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{-13}{18})\}\)
8. \(\left\{\begin{matrix}-5x+5y=\frac{58}{13}\\-x-y=\frac{32}{65}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{1}{5})\}\)
9. \(\left\{\begin{matrix}-4x+2y=10\\-x=y+-1\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{7}{3})\}\)
10. \(\left\{\begin{matrix}-x-4y=\frac{-229}{45}\\6x=-2y+\frac{164}{45}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{11}{9})\}\)
11. \(\left\{\begin{matrix}2x+6y=\frac{-311}{65}\\-x=5y+\frac{631}{130}\end{matrix}\right.\qquad V=\{(\frac{13}{10},\frac{-16}{13})\}\)
12. \(\left\{\begin{matrix}-6x-5y=\frac{89}{20}\\x=y+\frac{-6}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},\frac{1}{4})\}\)