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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-5y=-3\\x=y+\frac{-2}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-49}{26}+3x\\-2x-3y=\frac{119}{26}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{43}{6}\\x-4y=\frac{-329}{36}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-4y=\frac{800}{39}\\6x-y=\frac{500}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-11}{4}+4x\\-5x-6y=-7\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{76}{3}\\-3x=y+\frac{23}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{-1637}{208}\\-x+2y=\frac{135}{104}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{-330}{13}-6x\\5x+y=\frac{-599}{26}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-2y=\frac{11}{3}\\-x=-y+\frac{-1}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=3-3x\\-6x+y=7\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-5y=\frac{-207}{4}\\-6x+y=\frac{-189}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-y=13\\3x=-6y+-52\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-5y=-3\\x=y+\frac{-2}{5}\end{matrix}\right.\qquad V=\{(1,\frac{7}{5})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-49}{26}+3x\\-2x-3y=\frac{119}{26}\end{matrix}\right.\qquad V=\{(\frac{19}{13},\frac{-5}{2})\}\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{43}{6}\\x-4y=\frac{-329}{36}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{20}{9})\}\)
4. \(\left\{\begin{matrix}4x-4y=\frac{800}{39}\\6x-y=\frac{500}{13}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{20}{13})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-11}{4}+4x\\-5x-6y=-7\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{3}{4})\}\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{76}{3}\\-3x=y+\frac{23}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-13}{3})\}\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{-1637}{208}\\-x+2y=\frac{135}{104}\end{matrix}\right.\qquad V=\{(\frac{14}{13},\frac{19}{16})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{-330}{13}-6x\\5x+y=\frac{-599}{26}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-7}{13})\}\)
9. \(\left\{\begin{matrix}-6x-2y=\frac{11}{3}\\-x=-y+\frac{-1}{18}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-1}{2})\}\)
10. \(\left\{\begin{matrix}6y=3-3x\\-6x+y=7\end{matrix}\right.\qquad V=\{(-1,1)\}\)
11. \(\left\{\begin{matrix}-6x-5y=\frac{-207}{4}\\-6x+y=\frac{-189}{4}\end{matrix}\right.\qquad V=\{(8,\frac{3}{4})\}\)
12. \(\left\{\begin{matrix}6x-y=13\\3x=-6y+-52\end{matrix}\right.\qquad V=\{(\frac{2}{3},-9)\}\)