Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{-39}{4}+3x\\5x+y=\frac{67}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{77}{40}-x\\2x-2y=\frac{-7}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{179}{5}-3x\\-x-y=\frac{-89}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-y=\frac{-2}{3}\\-6x=3y+-5\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{-212}{19}\\x=-2y+\frac{-320}{57}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-3y=\frac{-15}{44}\\-6x=6y+\frac{-111}{22}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{-153}{2}-3x\\x+3y=\frac{105}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{8}{7}\\3x+y=\frac{-23}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+3y=0\\x+5y=\frac{36}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-3y=\frac{23}{2}\\-x=-y+\frac{-11}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+y=\frac{1}{10}\\-6x-5y=\frac{-23}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-y=\frac{-229}{70}\\6x=2y+\frac{-129}{35}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{-39}{4}+3x\\5x+y=\frac{67}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{7}{8})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{77}{40}-x\\2x-2y=\frac{-7}{20}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-7}{10})\}\)
3. \(\left\{\begin{matrix}6y=\frac{179}{5}-3x\\-x-y=\frac{-89}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},6)\}\)
4. \(\left\{\begin{matrix}-x-y=\frac{-2}{3}\\-6x=3y+-5\end{matrix}\right.\qquad V=\{(1,\frac{-1}{3})\}\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{-212}{19}\\x=-2y+\frac{-320}{57}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{-7}{3})\}\)
6. \(\left\{\begin{matrix}-x-3y=\frac{-15}{44}\\-6x=6y+\frac{-111}{22}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-1}{4})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{-153}{2}-3x\\x+3y=\frac{105}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},18)\}\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{8}{7}\\3x+y=\frac{-23}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{1}{2})\}\)
9. \(\left\{\begin{matrix}-3x+3y=0\\x+5y=\frac{36}{7}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{6}{7})\}\)
10. \(\left\{\begin{matrix}2x-3y=\frac{23}{2}\\-x=-y+\frac{-11}{2}\end{matrix}\right.\qquad V=\{(5,\frac{-1}{2})\}\)
11. \(\left\{\begin{matrix}4x+y=\frac{1}{10}\\-6x-5y=\frac{-23}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{8}{5})\}\)
12. \(\left\{\begin{matrix}5x-y=\frac{-229}{70}\\6x=2y+\frac{-129}{35}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-3}{10})\}\)