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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{149}{19}-6x\\x-y=\frac{79}{38}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-6y=14\\-5x-y=7\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=-31-x\\-4x-6y=26\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+4y=2\\-x=2y+\frac{1}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+y=\frac{119}{12}\\-2x+4y=\frac{-59}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+3y=\frac{-655}{12}\\2x=-6y+\frac{-641}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+6y=-11\\-4x=-y+\frac{-208}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+5y=\frac{41}{30}\\x+6y=\frac{1}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-y=\frac{-54}{7}\\-6x+4y=\frac{8}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{218}{63}-3x\\2x-4y=\frac{325}{63}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-2y=-15\\-3x-6y=-45\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+4y=\frac{78}{5}\\6x-2y=\frac{-111}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{149}{19}-6x\\x-y=\frac{79}{38}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-11}{19})\}\)
2. \(\left\{\begin{matrix}-2x-6y=14\\-5x-y=7\end{matrix}\right.\qquad V=\{(-1,-2)\}\)
3. \(\left\{\begin{matrix}5y=-31-x\\-4x-6y=26\end{matrix}\right.\qquad V=\{(4,-7)\}\)
4. \(\left\{\begin{matrix}5x+4y=2\\-x=2y+\frac{1}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}5x+y=\frac{119}{12}\\-2x+4y=\frac{-59}{6}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-4}{3})\}\)
6. \(\left\{\begin{matrix}-x+3y=\frac{-655}{12}\\2x=-6y+\frac{-641}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{12},-18)\}\)
7. \(\left\{\begin{matrix}-5x+6y=-11\\-4x=-y+\frac{-208}{15}\end{matrix}\right.\qquad V=\{(\frac{19}{5},\frac{4}{3})\}\)
8. \(\left\{\begin{matrix}2x+5y=\frac{41}{30}\\x+6y=\frac{1}{10}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{-1}{6})\}\)
9. \(\left\{\begin{matrix}-5x-y=\frac{-54}{7}\\-6x+4y=\frac{8}{7}\end{matrix}\right.\qquad V=\{(\frac{8}{7},2)\}\)
10. \(\left\{\begin{matrix}y=\frac{218}{63}-3x\\2x-4y=\frac{325}{63}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-11}{18})\}\)
11. \(\left\{\begin{matrix}-x-2y=-15\\-3x-6y=-45\end{matrix}\right.\qquad V=\{(13,1)\}\)
12. \(\left\{\begin{matrix}-x+4y=\frac{78}{5}\\6x-2y=\frac{-111}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{15}{4})\}\)