Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-2y=\frac{-41}{18}\\-3x=3y+\frac{-11}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-3y=\frac{15}{19}\\x=-y+\frac{37}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-548}{133}-4x\\-4x-y=\frac{-136}{133}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-4y=\frac{-20}{3}\\-5x=3y+12\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-6y=\frac{166}{7}\\-6x=-y+\frac{39}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{1016}{45}\\-x=-3y+\frac{107}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{105}{8}-5x\\x-3y=\frac{-21}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+5y=\frac{-1070}{247}\\4x-y=\frac{6}{247}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+2y=\frac{440}{13}\\-2x=y+\frac{482}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{114}{11}-x\\-3x+4y=\frac{87}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-2y=\frac{-16}{15}\\-6x+3y=\frac{-13}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-y=\frac{313}{57}\\6x=-3y+\frac{-43}{19}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-2y=\frac{-41}{18}\\-3x=3y+\frac{-11}{6}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{5}{3})\}\)
2. \(\left\{\begin{matrix}4x-3y=\frac{15}{19}\\x=-y+\frac{37}{19}\end{matrix}\right.\qquad V=\{(\frac{18}{19},1)\}\)
3. \(\left\{\begin{matrix}4y=\frac{-548}{133}-4x\\-4x-y=\frac{-136}{133}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{-12}{7})\}\)
4. \(\left\{\begin{matrix}-x-4y=\frac{-20}{3}\\-5x=3y+12\end{matrix}\right.\qquad V=\{(-4,\frac{8}{3})\}\)
5. \(\left\{\begin{matrix}-4x-6y=\frac{166}{7}\\-6x=-y+\frac{39}{7}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},-3)\}\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{1016}{45}\\-x=-3y+\frac{107}{15}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{13}{9})\}\)
7. \(\left\{\begin{matrix}6y=\frac{105}{8}-5x\\x-3y=\frac{-21}{8}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{5}{4})\}\)
8. \(\left\{\begin{matrix}-4x+5y=\frac{-1070}{247}\\4x-y=\frac{6}{247}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},\frac{-14}{13})\}\)
9. \(\left\{\begin{matrix}-2x+2y=\frac{440}{13}\\-2x=y+\frac{482}{13}\end{matrix}\right.\qquad V=\{(-18,\frac{-14}{13})\}\)
10. \(\left\{\begin{matrix}3y=\frac{114}{11}-x\\-3x+4y=\frac{87}{11}\end{matrix}\right.\qquad V=\{(\frac{15}{11},3)\}\)
11. \(\left\{\begin{matrix}x-2y=\frac{-16}{15}\\-6x+3y=\frac{-13}{5}\end{matrix}\right.\qquad V=\{(\frac{14}{15},1)\}\)
12. \(\left\{\begin{matrix}4x-y=\frac{313}{57}\\6x=-3y+\frac{-43}{19}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{-7}{3})\}\)