Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{-348}{7}+4x\\-2x+y=\frac{-166}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{-67}{5}-3x\\2x-y=\frac{-98}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{159}{85}+x\\-3x-3y=\frac{747}{85}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-2y=\frac{-317}{38}\\-x=4y+\frac{713}{152}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+y=\frac{-24}{7}\\5x=-4y+\frac{151}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+y=\frac{212}{51}\\2x-3y=\frac{-84}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-79}{104}-x\\-4x+2y=\frac{159}{26}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=-15-4x\\-x+2y=\frac{-9}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-3y=\frac{62}{5}\\-4x+y=\frac{-58}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-y=\frac{1}{3}\\-3x=3y+1\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+2y=\frac{605}{13}\\-x+6y=\frac{177}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-13}{20}-3x\\6x-y=\frac{23}{10}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{-348}{7}+4x\\-2x+y=\frac{-166}{7}\end{matrix}\right.\qquad V=\{(12,\frac{2}{7})\}\)
2. \(\left\{\begin{matrix}3y=\frac{-67}{5}-3x\\2x-y=\frac{-98}{15}\end{matrix}\right.\qquad V=\{(\frac{-11}{3},\frac{-4}{5})\}\)
3. \(\left\{\begin{matrix}y=\frac{159}{85}+x\\-3x-3y=\frac{747}{85}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{-9}{17})\}\)
4. \(\left\{\begin{matrix}4x-2y=\frac{-317}{38}\\-x=4y+\frac{713}{152}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{-11}{19})\}\)
5. \(\left\{\begin{matrix}-2x+y=\frac{-24}{7}\\5x=-4y+\frac{151}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{7},2)\}\)
6. \(\left\{\begin{matrix}-6x+y=\frac{212}{51}\\2x-3y=\frac{-84}{17}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{4}{3})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-79}{104}-x\\-4x+2y=\frac{159}{26}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{4}{13})\}\)
8. \(\left\{\begin{matrix}3y=-15-4x\\-x+2y=\frac{-9}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},-3)\}\)
9. \(\left\{\begin{matrix}5x-3y=\frac{62}{5}\\-4x+y=\frac{-58}{5}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{6}{5})\}\)
10. \(\left\{\begin{matrix}-x-y=\frac{1}{3}\\-3x=3y+1\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-7}{6})\}\)
11. \(\left\{\begin{matrix}-5x+2y=\frac{605}{13}\\-x+6y=\frac{177}{13}\end{matrix}\right.\qquad V=\{(-9,\frac{10}{13})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-13}{20}-3x\\6x-y=\frac{23}{10}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{6}{5})\}\)