Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=-5-5x\\-x+2y=-5\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{-2}{11}+2x\\2x-y=\frac{19}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{-71}{21}-x\\6x-3y=\frac{-79}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-1}{2}-6x\\2x-3y=\frac{11}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-4y=-11\\x=-5y+\frac{43}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+3y=\frac{453}{56}\\-2x=y+\frac{-151}{56}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-127}{88}-2x\\x-4y=\frac{-9}{22}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-6y=\frac{69}{20}\\x=-y+\frac{-9}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-6y=\frac{-33}{5}\\x+y=\frac{29}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-2y=\frac{-47}{18}\\3x=3y+\frac{-43}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+y=\frac{69}{13}\\-3x+3y=\frac{12}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{-153}{4}+3x\\-3x-y=\frac{-341}{8}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=-5-5x\\-x+2y=-5\end{matrix}\right.\qquad V=\{(1,-2)\}\)
2. \(\left\{\begin{matrix}2y=\frac{-2}{11}+2x\\2x-y=\frac{19}{11}\end{matrix}\right.\qquad V=\{(\frac{18}{11},\frac{17}{11})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{-71}{21}-x\\6x-3y=\frac{-79}{7}\end{matrix}\right.\qquad V=\{(\frac{-12}{7},\frac{1}{3})\}\)
4. \(\left\{\begin{matrix}y=\frac{-1}{2}-6x\\2x-3y=\frac{11}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-17}{10})\}\)
5. \(\left\{\begin{matrix}4x-4y=-11\\x=-5y+\frac{43}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{9}{4})\}\)
6. \(\left\{\begin{matrix}6x+3y=\frac{453}{56}\\-2x=y+\frac{-151}{56}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{1}{8})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-127}{88}-2x\\x-4y=\frac{-9}{22}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{-1}{8})\}\)
8. \(\left\{\begin{matrix}-3x-6y=\frac{69}{20}\\x=-y+\frac{-9}{20}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-7}{10})\}\)
9. \(\left\{\begin{matrix}6x-6y=\frac{-33}{5}\\x+y=\frac{29}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{10},2)\}\)
10. \(\left\{\begin{matrix}-x-2y=\frac{-47}{18}\\3x=3y+\frac{-43}{6}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},\frac{5}{3})\}\)
11. \(\left\{\begin{matrix}4x+y=\frac{69}{13}\\-3x+3y=\frac{12}{13}\end{matrix}\right.\qquad V=\{(1,\frac{17}{13})\}\)
12. \(\left\{\begin{matrix}6y=\frac{-153}{4}+3x\\-3x-y=\frac{-341}{8}\end{matrix}\right.\qquad V=\{(14,\frac{5}{8})\}\)