Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+y=\frac{-241}{40}\\3x-5y=\frac{13}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+3y=\frac{603}{19}\\x=-3y+\frac{185}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-6y=\frac{-23}{33}\\3x-4y=\frac{-361}{99}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{-525}{19}+3x\\-5x+y=\frac{-959}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}y=\frac{-1363}{117}+5x\\3x-3y=\frac{323}{39}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+6y=\frac{32}{57}\\-5x-y=\frac{704}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-61}{14}\\6x+y=\frac{-40}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+2y=\frac{168}{13}\\x=-3y+\frac{83}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-2y=-18\\6x+y=-15\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-y=\frac{703}{12}\\6x+5y=\frac{1165}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+4y=\frac{-2}{13}\\-2x=-y+\frac{6}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-5y=5\\-x=-3y+3\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+y=\frac{-241}{40}\\3x-5y=\frac{13}{8}\end{matrix}\right.\qquad V=\{(\frac{19}{8},\frac{11}{10})\}\)
2. \(\left\{\begin{matrix}3x+3y=\frac{603}{19}\\x=-3y+\frac{185}{19}\end{matrix}\right.\qquad V=\{(11,\frac{-8}{19})\}\)
3. \(\left\{\begin{matrix}x-6y=\frac{-23}{33}\\3x-4y=\frac{-361}{99}\end{matrix}\right.\qquad V=\{(\frac{-15}{11},\frac{-1}{9})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{-525}{19}+3x\\-5x+y=\frac{-959}{19}\end{matrix}\right.\qquad V=\{(10,\frac{-9}{19})\}\)
5. \(\left\{\begin{matrix}y=\frac{-1363}{117}+5x\\3x-3y=\frac{323}{39}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{-7}{13})\}\)
6. \(\left\{\begin{matrix}-2x+6y=\frac{32}{57}\\-5x-y=\frac{704}{57}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-13}{19})\}\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-61}{14}\\6x+y=\frac{-40}{7}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},-1)\}\)
8. \(\left\{\begin{matrix}5x+2y=\frac{168}{13}\\x=-3y+\frac{83}{13}\end{matrix}\right.\qquad V=\{(2,\frac{19}{13})\}\)
9. \(\left\{\begin{matrix}4x-2y=-18\\6x+y=-15\end{matrix}\right.\qquad V=\{(-3,3)\}\)
10. \(\left\{\begin{matrix}4x-y=\frac{703}{12}\\6x+5y=\frac{1165}{12}\end{matrix}\right.\qquad V=\{(15,\frac{17}{12})\}\)
11. \(\left\{\begin{matrix}-6x+4y=\frac{-2}{13}\\-2x=-y+\frac{6}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{-20}{13})\}\)
12. \(\left\{\begin{matrix}-5x-5y=5\\-x=-3y+3\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{1}{2})\}\)