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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=2-3x\\x-6y=14\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+4y=\frac{-125}{24}\\4x-2y=\frac{19}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+y=\frac{-19}{4}\\4x=-5y+\frac{-125}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{-75}{2}\\-x=-y+\frac{-7}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{19}{2}\\x+y=\frac{5}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-44}{15}-6x\\6x+5y=\frac{-4}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-4y=\frac{-8}{9}\\-2x+y=\frac{31}{18}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-3y=\frac{1381}{238}\\-3x=-y+\frac{-717}{238}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-3y=\frac{52}{3}\\5x=y+\frac{23}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-y=\frac{-113}{40}\\6x-5y=\frac{-301}{40}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{14}{3}+4x\\-6x+y=11\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-4y=34\\x=-4y+1\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=2-3x\\x-6y=14\end{matrix}\right.\qquad V=\{(-1,\frac{-5}{2})\}\)
2. \(\left\{\begin{matrix}x+4y=\frac{-125}{24}\\4x-2y=\frac{19}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{-4}{3})\}\)
3. \(\left\{\begin{matrix}-4x+y=\frac{-19}{4}\\4x=-5y+\frac{-125}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},-6)\}\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{-75}{2}\\-x=-y+\frac{-7}{2}\end{matrix}\right.\qquad V=\{(6,\frac{5}{2})\}\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{19}{2}\\x+y=\frac{5}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},2)\}\)
6. \(\left\{\begin{matrix}y=\frac{-44}{15}-6x\\6x+5y=\frac{-4}{15}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{2}{3})\}\)
7. \(\left\{\begin{matrix}-4x-4y=\frac{-8}{9}\\-2x+y=\frac{31}{18}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{13}{18})\}\)
8. \(\left\{\begin{matrix}4x-3y=\frac{1381}{238}\\-3x=-y+\frac{-717}{238}\end{matrix}\right.\qquad V=\{(\frac{11}{17},\frac{-15}{14})\}\)
9. \(\left\{\begin{matrix}-2x-3y=\frac{52}{3}\\5x=y+\frac{23}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},-6)\}\)
10. \(\left\{\begin{matrix}3x-y=\frac{-113}{40}\\6x-5y=\frac{-301}{40}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{5}{8})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{14}{3}+4x\\-6x+y=11\end{matrix}\right.\qquad V=\{(\frac{-5}{3},1)\}\)
12. \(\left\{\begin{matrix}4x-4y=34\\x=-4y+1\end{matrix}\right.\qquad V=\{(7,\frac{-3}{2})\}\)