Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-5y=\frac{8}{39}\\-x=-4y+\frac{-61}{39}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+2y=\frac{-104}{9}\\x+3y=\frac{-2}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+2y=\frac{23}{7}\\x+2y=\frac{25}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+5y=-8\\x=4y+\frac{11}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{7}{5}-5x\\-2x-y=\frac{-7}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-3y=\frac{-51}{20}\\x=y+\frac{41}{240}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=1+6x\\-2x+y=1\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+y=\frac{-25}{56}\\3x-5y=\frac{-93}{112}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-4y=\frac{-147}{152}\\-3x=-5y+\frac{217}{152}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{331}{34}+4x\\2x+y=\frac{-327}{68}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{10}{3}+2x\\-x+6y=\frac{17}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{73}{30}\\4x+y=\frac{-67}{15}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-5y=\frac{8}{39}\\-x=-4y+\frac{-61}{39}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-4}{13})\}\)
2. \(\left\{\begin{matrix}-6x+2y=\frac{-104}{9}\\x+3y=\frac{-2}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-7}{9})\}\)
3. \(\left\{\begin{matrix}4x+2y=\frac{23}{7}\\x+2y=\frac{25}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{9}{14})\}\)
4. \(\left\{\begin{matrix}4x+5y=-8\\x=4y+\frac{11}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-4}{5})\}\)
5. \(\left\{\begin{matrix}6y=\frac{7}{5}-5x\\-2x-y=\frac{-7}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-3}{5})\}\)
6. \(\left\{\begin{matrix}-4x-3y=\frac{-51}{20}\\x=y+\frac{41}{240}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{4}{15})\}\)
7. \(\left\{\begin{matrix}-5y=1+6x\\-2x+y=1\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{1}{4})\}\)
8. \(\left\{\begin{matrix}-2x+y=\frac{-25}{56}\\3x-5y=\frac{-93}{112}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{3}{7})\}\)
9. \(\left\{\begin{matrix}x-4y=\frac{-147}{152}\\-3x=-5y+\frac{217}{152}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{4}{19})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{331}{34}+4x\\2x+y=\frac{-327}{68}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{-1}{17})\}\)
11. \(\left\{\begin{matrix}4y=\frac{10}{3}+2x\\-x+6y=\frac{17}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},1)\}\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{73}{30}\\4x+y=\frac{-67}{15}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},\frac{-2}{15})\}\)