Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-347}{30}+4x\\-x+5y=\frac{-71}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{31}{9}+x\\3x-6y=\frac{-7}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-y=\frac{-25}{4}\\2x=6y+\frac{47}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-4y=-31\\x-4y=5\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=63+4x\\-x-5y=42\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-15}{8}\\x+2y=\frac{19}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-620}{63}+4x\\-x+y=\frac{-155}{63}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+y=\frac{-291}{22}\\-2x+4y=\frac{-75}{22}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-6y=\frac{124}{15}\\-6x=-2y+\frac{22}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-6y=\frac{-397}{76}\\x=-4y+\frac{485}{152}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{-229}{18}\\-x=-3y+\frac{-31}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-5y=22\\-x=y+4\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-347}{30}+4x\\-x+5y=\frac{-71}{12}\end{matrix}\right.\qquad V=\{(\frac{19}{6},\frac{-11}{20})\}\)
2. \(\left\{\begin{matrix}6y=\frac{31}{9}+x\\3x-6y=\frac{-7}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{2}{3})\}\)
3. \(\left\{\begin{matrix}6x-y=\frac{-25}{4}\\2x=6y+\frac{47}{6}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-7}{4})\}\)
4. \(\left\{\begin{matrix}-3x-4y=-31\\x-4y=5\end{matrix}\right.\qquad V=\{(9,1)\}\)
5. \(\left\{\begin{matrix}-6y=63+4x\\-x-5y=42\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-15}{2})\}\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-15}{8}\\x+2y=\frac{19}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{8},1)\}\)
7. \(\left\{\begin{matrix}4y=\frac{-620}{63}+4x\\-x+y=\frac{-155}{63}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{-8}{9})\}\)
8. \(\left\{\begin{matrix}-6x+y=\frac{-291}{22}\\-2x+4y=\frac{-75}{22}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{3}{11})\}\)
9. \(\left\{\begin{matrix}-x-6y=\frac{124}{15}\\-6x=-2y+\frac{22}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-19}{15})\}\)
10. \(\left\{\begin{matrix}-2x-6y=\frac{-397}{76}\\x=-4y+\frac{485}{152}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{11}{19})\}\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{-229}{18}\\-x=-3y+\frac{-31}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{-5}{9})\}\)
12. \(\left\{\begin{matrix}-3x-5y=22\\-x=y+4\end{matrix}\right.\qquad V=\{(1,-5)\}\)