Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}x+4y=\frac{8}{3}\\2x=-2y+\frac{-31}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+y=\frac{1}{10}\\-4x+5y=\frac{-27}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{349}{19}-3x\\-x+y=\frac{-331}{57}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-5y=\frac{139}{18}\\6x-4y=\frac{-134}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{33}{4}+5x\\6x-y=\frac{-6}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+2y=4\\-4x+2y=-14\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{35}{2}+6x\\-x+4y=\frac{83}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-6y=\frac{-1}{15}\\-x=y+\frac{-1}{90}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+6y=\frac{497}{40}\\-5x+3y=\frac{541}{40}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+6y=\frac{1263}{238}\\-x-3y=\frac{-453}{238}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{8}{3}-x\\5x+5y=\frac{-25}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+y=\frac{-157}{30}\\-5x=2y+\frac{7}{15}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+4y=\frac{8}{3}\\2x=-2y+\frac{-31}{6}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{7}{4})\}\)
2. \(\left\{\begin{matrix}2x+y=\frac{1}{10}\\-4x+5y=\frac{-27}{2}\end{matrix}\right.\qquad V=\{(1,\frac{-19}{10})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{349}{19}-3x\\-x+y=\frac{-331}{57}\end{matrix}\right.\qquad V=\{(\frac{16}{3},\frac{-9}{19})\}\)
4. \(\left\{\begin{matrix}-x-5y=\frac{139}{18}\\6x-4y=\frac{-134}{15}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{-11}{10})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{33}{4}+5x\\6x-y=\frac{-6}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},\frac{-3}{2})\}\)
6. \(\left\{\begin{matrix}-x+2y=4\\-4x+2y=-14\end{matrix}\right.\qquad V=\{(6,5)\}\)
7. \(\left\{\begin{matrix}-3y=\frac{35}{2}+6x\\-x+4y=\frac{83}{3}\end{matrix}\right.\qquad V=\{(\frac{-17}{3},\frac{11}{2})\}\)
8. \(\left\{\begin{matrix}-6x-6y=\frac{-1}{15}\\-x=y+\frac{-1}{90}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},\frac{2}{5})\}\)
9. \(\left\{\begin{matrix}-x+6y=\frac{497}{40}\\-5x+3y=\frac{541}{40}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{9}{5})\}\)
10. \(\left\{\begin{matrix}-5x+6y=\frac{1263}{238}\\-x-3y=\frac{-453}{238}\end{matrix}\right.\qquad V=\{(\frac{-3}{14},\frac{12}{17})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{8}{3}-x\\5x+5y=\frac{-25}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-1}{2})\}\)
12. \(\left\{\begin{matrix}-5x+y=\frac{-157}{30}\\-5x=2y+\frac{7}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-19}{10})\}\)