Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-3y=\frac{93}{4}\\-6x-y=\frac{43}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{19}{88}+x\\-6x-5y=\frac{151}{176}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+2y=0\\3x=y+\frac{-11}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{-175}{4}+x\\2x-4y=21\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-6y=\frac{-442}{15}\\4x-y=\frac{-371}{45}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+2y=\frac{179}{21}\\-6x=y+\frac{241}{42}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-2y=4\\2x=-y+-2\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-305}{18}+6x\\5x-6y=\frac{133}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-3y=\frac{25}{8}\\4x+y=\frac{45}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{-325}{3}\\-6x+y=10\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-52}{3}-5x\\-x-4y=\frac{59}{18}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-78}{19}-2x\\x-4y=\frac{-77}{19}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-3y=\frac{93}{4}\\-6x-y=\frac{43}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{20},-7)\}\)
2. \(\left\{\begin{matrix}-2y=\frac{19}{88}+x\\-6x-5y=\frac{151}{176}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{-1}{16})\}\)
3. \(\left\{\begin{matrix}-2x+2y=0\\3x=y+\frac{-11}{4}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{-11}{8})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{-175}{4}+x\\2x-4y=21\end{matrix}\right.\qquad V=\{(20,\frac{19}{4})\}\)
5. \(\left\{\begin{matrix}6x-6y=\frac{-442}{15}\\4x-y=\frac{-371}{45}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{19}{5})\}\)
6. \(\left\{\begin{matrix}-6x+2y=\frac{179}{21}\\-6x=y+\frac{241}{42}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{13}{14})\}\)
7. \(\left\{\begin{matrix}-4x-2y=4\\2x=-y+-2\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-1)\}\)
8. \(\left\{\begin{matrix}-y=\frac{-305}{18}+6x\\5x-6y=\frac{133}{12}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{4}{9})\}\)
9. \(\left\{\begin{matrix}4x-3y=\frac{25}{8}\\4x+y=\frac{45}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{5}{8})\}\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{-325}{3}\\-6x+y=10\end{matrix}\right.\qquad V=\{(\frac{5}{3},20)\}\)
11. \(\left\{\begin{matrix}3y=\frac{-52}{3}-5x\\-x-4y=\frac{59}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{1}{18})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-78}{19}-2x\\x-4y=\frac{-77}{19}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},1)\}\)