Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-2y=\frac{-107}{35}\\6x-y=\frac{-211}{35}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-6y=\frac{644}{65}\\-x-3y=\frac{-38}{65}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+5y=-1\\-x=2y+\frac{-4}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+6y=\frac{-224}{65}\\-3x=y+\frac{437}{195}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-320}{17}-4x\\-6x-6y=\frac{-1560}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-46}{5}+4x\\x+4y=\frac{33}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-28}{3}+5x\\-x+3y=-3\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-5y=\frac{55}{9}\\-4x-y=\frac{74}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-3y=\frac{-967}{19}\\-x+3y=\frac{970}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+6y=\frac{58}{11}\\-4x=-4y+\frac{-80}{33}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-3y=\frac{103}{30}\\-3x-y=\frac{71}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-5y=\frac{133}{18}\\-3x=-6y+\frac{-217}{30}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-2y=\frac{-107}{35}\\6x-y=\frac{-211}{35}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{17}{7})\}\)
2. \(\left\{\begin{matrix}6x-6y=\frac{644}{65}\\-x-3y=\frac{-38}{65}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{-4}{15})\}\)
3. \(\left\{\begin{matrix}5x+5y=-1\\-x=2y+\frac{-4}{5}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},1)\}\)
4. \(\left\{\begin{matrix}5x+6y=\frac{-224}{65}\\-3x=y+\frac{437}{195}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{1}{15})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-320}{17}-4x\\-6x-6y=\frac{-1560}{17}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},16)\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-46}{5}+4x\\x+4y=\frac{33}{10}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{2}{5})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-28}{3}+5x\\-x+3y=-3\end{matrix}\right.\qquad V=\{(2,\frac{-1}{3})\}\)
8. \(\left\{\begin{matrix}-6x-5y=\frac{55}{9}\\-4x-y=\frac{74}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{16}{9})\}\)
9. \(\left\{\begin{matrix}-2x-3y=\frac{-967}{19}\\-x+3y=\frac{970}{19}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},17)\}\)
10. \(\left\{\begin{matrix}x+6y=\frac{58}{11}\\-4x=-4y+\frac{-80}{33}\end{matrix}\right.\qquad V=\{(\frac{14}{11},\frac{2}{3})\}\)
11. \(\left\{\begin{matrix}-6x-3y=\frac{103}{30}\\-3x-y=\frac{71}{30}\end{matrix}\right.\qquad V=\{(\frac{-11}{9},\frac{13}{10})\}\)
12. \(\left\{\begin{matrix}-x-5y=\frac{133}{18}\\-3x=-6y+\frac{-217}{30}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},\frac{-7}{5})\}\)