Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-115}{36}-x\\6x-4y=\frac{-413}{18}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-2y=\frac{-63}{4}\\-x=-6y+\frac{-15}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+5y=\frac{-145}{42}\\3x=y+\frac{263}{42}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-y=\frac{-83}{17}\\-5x=-4y+\frac{94}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-1364}{57}+5x\\x+y=\frac{265}{57}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-4y=\frac{25}{13}\\5x+y=\frac{59}{26}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-6y=-68\\-x=6y+\frac{-71}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+y=\frac{65}{4}\\-5x=3y+\frac{-59}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+y=\frac{-86}{9}\\-4x+5y=\frac{-220}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+y=\frac{-519}{20}\\4x=-3y+\frac{523}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+y=\frac{-516}{323}\\6x-5y=\frac{1696}{323}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{11}{13}-3x\\x-3y=-1\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-115}{36}-x\\6x-4y=\frac{-413}{18}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{1}{9})\}\)
2. \(\left\{\begin{matrix}6x-2y=\frac{-63}{4}\\-x=-6y+\frac{-15}{4}\end{matrix}\right.\qquad V=\{(-3,\frac{-9}{8})\}\)
3. \(\left\{\begin{matrix}-2x+5y=\frac{-145}{42}\\3x=y+\frac{263}{42}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{1}{6})\}\)
4. \(\left\{\begin{matrix}3x-y=\frac{-83}{17}\\-5x=-4y+\frac{94}{17}\end{matrix}\right.\qquad V=\{(-2,\frac{-19}{17})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-1364}{57}+5x\\x+y=\frac{265}{57}\end{matrix}\right.\qquad V=\{(\frac{16}{3},\frac{-13}{19})\}\)
6. \(\left\{\begin{matrix}2x-4y=\frac{25}{13}\\5x+y=\frac{59}{26}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-3}{13})\}\)
7. \(\left\{\begin{matrix}6x-6y=-68\\-x=6y+\frac{-71}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},5)\}\)
8. \(\left\{\begin{matrix}5x+y=\frac{65}{4}\\-5x=3y+\frac{-59}{4}\end{matrix}\right.\qquad V=\{(\frac{17}{5},\frac{-3}{4})\}\)
9. \(\left\{\begin{matrix}-5x+y=\frac{-86}{9}\\-4x+5y=\frac{-220}{9}\end{matrix}\right.\qquad V=\{(\frac{10}{9},-4)\}\)
10. \(\left\{\begin{matrix}-4x+y=\frac{-519}{20}\\4x=-3y+\frac{523}{20}\end{matrix}\right.\qquad V=\{(\frac{13}{2},\frac{1}{20})\}\)
11. \(\left\{\begin{matrix}4x+y=\frac{-516}{323}\\6x-5y=\frac{1696}{323}\end{matrix}\right.\qquad V=\{(\frac{-2}{19},\frac{-20}{17})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{11}{13}-3x\\x-3y=-1\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{10}{13})\}\)