Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+y=\frac{-1}{20}\\3x=-5y+\frac{11}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-311}{22}-5x\\x-6y=\frac{-163}{22}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{312}{187}+6x\\-x-2y=\frac{217}{187}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+3y=\frac{-66}{5}\\2x=-2y+\frac{-48}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{31}{9}+4x\\x+6y=\frac{43}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{-91}{24}\\x=6y+\frac{257}{24}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+3y=\frac{-174}{5}\\-x-2y=\frac{-14}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{41}{52}-5x\\x+3y=\frac{-23}{52}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+4y=-34\\x+4y=8\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{1712}{209}+6x\\x+y=\frac{-333}{209}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{-24}{35}\\-x=-5y+\frac{27}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+6y=\frac{-367}{70}\\4x+4y=\frac{-134}{35}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+y=\frac{-1}{20}\\3x=-5y+\frac{11}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{1}{4})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-311}{22}-5x\\x-6y=\frac{-163}{22}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{9}{11})\}\)
3. \(\left\{\begin{matrix}3y=\frac{312}{187}+6x\\-x-2y=\frac{217}{187}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{-6}{17})\}\)
4. \(\left\{\begin{matrix}-x+3y=\frac{-66}{5}\\2x=-2y+\frac{-48}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-9}{2})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{31}{9}+4x\\x+6y=\frac{43}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{8}{9})\}\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{-91}{24}\\x=6y+\frac{257}{24}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{-17}{9})\}\)
7. \(\left\{\begin{matrix}-5x+3y=\frac{-174}{5}\\-x-2y=\frac{-14}{5}\end{matrix}\right.\qquad V=\{(6,\frac{-8}{5})\}\)
8. \(\left\{\begin{matrix}2y=\frac{41}{52}-5x\\x+3y=\frac{-23}{52}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-3}{13})\}\)
9. \(\left\{\begin{matrix}-2x+4y=-34\\x+4y=8\end{matrix}\right.\qquad V=\{(14,\frac{-3}{2})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{1712}{209}+6x\\x+y=\frac{-333}{209}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{-13}{19})\}\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{-24}{35}\\-x=-5y+\frac{27}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{3}{5})\}\)
12. \(\left\{\begin{matrix}x+6y=\frac{-367}{70}\\4x+4y=\frac{-134}{35}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{-6}{7})\}\)