Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{11}{4}+3x\\5x-y=\frac{29}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{79}{3}-x\\-2x+4y=\frac{-104}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+5y=\frac{1}{5}\\4x=y+\frac{-53}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+y=\frac{203}{30}\\-3x=-3y+\frac{53}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-111}{28}+3x\\x+6y=\frac{-173}{28}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+y=\frac{27}{10}\\-6x+4y=\frac{-207}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-2y=\frac{431}{104}\\-x=y+\frac{431}{208}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+3y=\frac{32}{5}\\-x-5y=4\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+6y=\frac{-804}{247}\\-6x=6y+\frac{1974}{247}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+6y=-5\\-6x=5y+11\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-5y=\frac{-41}{26}\\-x+5y=\frac{71}{26}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-2y=\frac{61}{40}\\-x-y=\frac{321}{80}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{11}{4}+3x\\5x-y=\frac{29}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-3}{4})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{79}{3}-x\\-2x+4y=\frac{-104}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-9)\}\)
3. \(\left\{\begin{matrix}2x+5y=\frac{1}{5}\\4x=y+\frac{-53}{5}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},1)\}\)
4. \(\left\{\begin{matrix}-4x+y=\frac{203}{30}\\-3x=-3y+\frac{53}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{1}{10})\}\)
5. \(\left\{\begin{matrix}3y=\frac{-111}{28}+3x\\x+6y=\frac{-173}{28}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-15}{14})\}\)
6. \(\left\{\begin{matrix}2x+y=\frac{27}{10}\\-6x+4y=\frac{-207}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-9}{5})\}\)
7. \(\left\{\begin{matrix}-2x-2y=\frac{431}{104}\\-x=y+\frac{431}{208}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},\frac{-11}{16})\}\)
8. \(\left\{\begin{matrix}-6x+3y=\frac{32}{5}\\-x-5y=4\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-8}{15})\}\)
9. \(\left\{\begin{matrix}x+6y=\frac{-804}{247}\\-6x=6y+\frac{1974}{247}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{-5}{13})\}\)
10. \(\left\{\begin{matrix}-x+6y=-5\\-6x=5y+11\end{matrix}\right.\qquad V=\{(-1,-1)\}\)
11. \(\left\{\begin{matrix}-4x-5y=\frac{-41}{26}\\-x+5y=\frac{71}{26}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}6x-2y=\frac{61}{40}\\-x-y=\frac{321}{80}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{-16}{5})\}\)