Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{175}{72}+2x\\-6x-y=\frac{31}{24}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+6y=\frac{-23}{30}\\-3x+4y=\frac{17}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{7}{5}-2x\\4x+6y=\frac{-6}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+5y=\frac{45}{4}\\x=3y+\frac{-43}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-6y=\frac{73}{8}\\x+y=\frac{-3}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+5y=69\\2x+y=12\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-43}{2}-x\\3x-2y=\frac{-41}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+4y=\frac{-256}{39}\\2x-y=\frac{100}{39}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+y=\frac{221}{44}\\-4x=-6y+\frac{51}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-5y=\frac{15}{2}\\x+y=\frac{7}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-2y=\frac{809}{11}\\-3x+y=\frac{-487}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+4y=1\\x+y=\frac{1}{4}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{175}{72}+2x\\-6x-y=\frac{31}{24}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{3}{8})\}\)
2. \(\left\{\begin{matrix}x+6y=\frac{-23}{30}\\-3x+4y=\frac{17}{5}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},\frac{1}{20})\}\)
3. \(\left\{\begin{matrix}y=\frac{7}{5}-2x\\4x+6y=\frac{-6}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},-1)\}\)
4. \(\left\{\begin{matrix}5x+5y=\frac{45}{4}\\x=3y+\frac{-43}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{13}{4})\}\)
5. \(\left\{\begin{matrix}5x-6y=\frac{73}{8}\\x+y=\frac{-3}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{8},-1)\}\)
6. \(\left\{\begin{matrix}4x+5y=69\\2x+y=12\end{matrix}\right.\qquad V=\{(\frac{-3}{2},15)\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-43}{2}-x\\3x-2y=\frac{-41}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},11)\}\)
8. \(\left\{\begin{matrix}-2x+4y=\frac{-256}{39}\\2x-y=\frac{100}{39}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{-4}{3})\}\)
9. \(\left\{\begin{matrix}5x+y=\frac{221}{44}\\-4x=-6y+\frac{51}{11}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{14}{11})\}\)
10. \(\left\{\begin{matrix}5x-5y=\frac{15}{2}\\x+y=\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{2},1)\}\)
11. \(\left\{\begin{matrix}5x-2y=\frac{809}{11}\\-3x+y=\frac{-487}{11}\end{matrix}\right.\qquad V=\{(15,\frac{8}{11})\}\)
12. \(\left\{\begin{matrix}4x+4y=1\\x+y=\frac{1}{4}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-11}{20})\}\)