Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{1216}{51}-4x\\-3x-4y=\frac{-209}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-59}{24}+2x\\2x-y=\frac{181}{48}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=21+6x\\x-6y=\frac{-73}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-5y=\frac{-165}{8}\\-6x=-4y+\frac{49}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{-6}{5}\\x+4y=\frac{33}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+2y=\frac{562}{17}\\-x=3y+\frac{-299}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+4y=\frac{-43}{2}\\x=-2y+\frac{9}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-3y=5\\x=y+-3\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+3y=\frac{-83}{114}\\-x+3y=\frac{-251}{114}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{-169}{5}+4x\\5x+6y=\frac{254}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-53}{6}-5x\\-x+5y=\frac{103}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{-292}{51}-4x\\6x+y=\frac{-81}{17}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{1216}{51}-4x\\-3x-4y=\frac{-209}{17}\end{matrix}\right.\qquad V=\{(\frac{17}{3},\frac{-20}{17})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-59}{24}+2x\\2x-y=\frac{181}{48}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-7}{16})\}\)
3. \(\left\{\begin{matrix}3y=21+6x\\x-6y=\frac{-73}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},6)\}\)
4. \(\left\{\begin{matrix}-x-5y=\frac{-165}{8}\\-6x=-4y+\frac{49}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{8},4)\}\)
5. \(\left\{\begin{matrix}-2x-3y=\frac{-6}{5}\\x+4y=\frac{33}{5}\end{matrix}\right.\qquad V=\{(-3,\frac{12}{5})\}\)
6. \(\left\{\begin{matrix}2x+2y=\frac{562}{17}\\-x=3y+\frac{-299}{17}\end{matrix}\right.\qquad V=\{(16,\frac{9}{17})\}\)
7. \(\left\{\begin{matrix}-6x+4y=\frac{-43}{2}\\x=-2y+\frac{9}{4}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}-4x-3y=5\\x=y+-3\end{matrix}\right.\qquad V=\{(-2,1)\}\)
9. \(\left\{\begin{matrix}3x+3y=\frac{-83}{114}\\-x+3y=\frac{-251}{114}\end{matrix}\right.\qquad V=\{(\frac{7}{19},\frac{-11}{18})\}\)
10. \(\left\{\begin{matrix}-y=\frac{-169}{5}+4x\\5x+6y=\frac{254}{5}\end{matrix}\right.\qquad V=\{(8,\frac{9}{5})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-53}{6}-5x\\-x+5y=\frac{103}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{7}{2})\}\)
12. \(\left\{\begin{matrix}4y=\frac{-292}{51}-4x\\6x+y=\frac{-81}{17}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-13}{17})\}\)