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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=-19+4x\\-x+y=\frac{-43}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{35}{6}\\-x-3y=\frac{19}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{31}{9}-2x\\-x-4y=\frac{1}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-57}{70}-x\\-5x+6y=\frac{-9}{70}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-46}{77}+3x\\-x+y=\frac{36}{77}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{-237}{17}\\3x=y+\frac{252}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{311}{90}-4x\\-5x+3y=\frac{-373}{90}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-5y=\frac{1821}{304}\\x-5y=\frac{541}{304}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+y=2\\5x-5y=-28\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-y=\frac{313}{130}\\4x=4y+\frac{-74}{65}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-6y=\frac{-97}{17}\\-x+3y=\frac{50}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-5y=\frac{291}{68}\\6x=y+\frac{-27}{34}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=-19+4x\\-x+y=\frac{-43}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{1}{5})\}\)
2. \(\left\{\begin{matrix}-5x-5y=\frac{35}{6}\\-x-3y=\frac{19}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},-1)\}\)
3. \(\left\{\begin{matrix}4y=\frac{31}{9}-2x\\-x-4y=\frac{1}{18}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{-8}{9})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-57}{70}-x\\-5x+6y=\frac{-9}{70}\end{matrix}\right.\qquad V=\{(\frac{-3}{14},\frac{-1}{5})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-46}{77}+3x\\-x+y=\frac{36}{77}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{2}{7})\}\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{-237}{17}\\3x=y+\frac{252}{17}\end{matrix}\right.\qquad V=\{(5,\frac{3}{17})\}\)
7. \(\left\{\begin{matrix}-y=\frac{311}{90}-4x\\-5x+3y=\frac{-373}{90}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{1}{10})\}\)
8. \(\left\{\begin{matrix}6x-5y=\frac{1821}{304}\\x-5y=\frac{541}{304}\end{matrix}\right.\qquad V=\{(\frac{16}{19},\frac{-3}{16})\}\)
9. \(\left\{\begin{matrix}5x+y=2\\5x-5y=-28\end{matrix}\right.\qquad V=\{(\frac{-3}{5},5)\}\)
10. \(\left\{\begin{matrix}-6x-y=\frac{313}{130}\\4x=4y+\frac{-74}{65}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{-1}{10})\}\)
11. \(\left\{\begin{matrix}5x-6y=\frac{-97}{17}\\-x+3y=\frac{50}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{17},1)\}\)
12. \(\left\{\begin{matrix}-3x-5y=\frac{291}{68}\\6x=y+\frac{-27}{34}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-12}{17})\}\)