Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{59}{13}-3x\\-x-4y=\frac{-178}{39}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-5y=\frac{-43}{18}\\-3x=y+\frac{-16}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{1}{2}+3x\\-x-3y=\frac{-31}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+y=\frac{56}{3}\\-3x-6y=\frac{-35}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{133}{26}\\-x=-6y+\frac{-113}{13}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-7}{3}-4x\\x-3y=\frac{83}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+4y=\frac{-20}{3}\\-6x-y=\frac{-16}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+6y=26\\x=-2y+\frac{14}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+y=\frac{59}{20}\\3x=2y+\frac{-19}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-31}{4}+5x\\-4x+4y=\frac{-51}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-y=\frac{97}{6}\\-6x-4y=-22\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+6y=\frac{26}{19}\\-6x=y+\frac{-245}{19}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{59}{13}-3x\\-x-4y=\frac{-178}{39}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{17}{13})\}\)
2. \(\left\{\begin{matrix}-2x-5y=\frac{-43}{18}\\-3x=y+\frac{-16}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{5}{18})\}\)
3. \(\left\{\begin{matrix}3y=\frac{1}{2}+3x\\-x-3y=\frac{-31}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{4}{3})\}\)
4. \(\left\{\begin{matrix}4x+y=\frac{56}{3}\\-3x-6y=\frac{-35}{2}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{133}{26}\\-x=-6y+\frac{-113}{13}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},\frac{-3}{2})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-7}{3}-4x\\x-3y=\frac{83}{12}\end{matrix}\right.\qquad V=\{(\frac{11}{12},-2)\}\)
7. \(\left\{\begin{matrix}-4x+4y=\frac{-20}{3}\\-6x-y=\frac{-16}{3}\end{matrix}\right.\qquad V=\{(1,\frac{-2}{3})\}\)
8. \(\left\{\begin{matrix}6x+6y=26\\x=-2y+\frac{14}{3}\end{matrix}\right.\qquad V=\{(4,\frac{1}{3})\}\)
9. \(\left\{\begin{matrix}-4x+y=\frac{59}{20}\\3x=2y+\frac{-19}{10}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-1}{4})\}\)
10. \(\left\{\begin{matrix}y=\frac{-31}{4}+5x\\-4x+4y=\frac{-51}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{10},\frac{-5}{4})\}\)
11. \(\left\{\begin{matrix}5x-y=\frac{97}{6}\\-6x-4y=-22\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}-2x+6y=\frac{26}{19}\\-6x=y+\frac{-245}{19}\end{matrix}\right.\qquad V=\{(2,\frac{17}{19})\}\)