Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{-265}{21}-5x\\x+6y=\frac{73}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-33}{13}+6x\\4x+5y=\frac{-147}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+y=\frac{83}{8}\\-3x-5y=\frac{-163}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+4y=\frac{828}{11}\\-4x=-y+\frac{246}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-2y=\frac{-123}{11}\\-x+y=\frac{69}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-4y=\frac{224}{3}\\-x=5y+\frac{115}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-y=\frac{-37}{10}\\-3x=-6y+\frac{34}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-214}{35}\\-5x+y=\frac{-111}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-4y=\frac{-1}{10}\\-2x=y+-1\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-499}{22}-6x\\-x-5y=\frac{185}{44}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+4y=\frac{-158}{7}\\-x-5y=\frac{166}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-3y=\frac{146}{171}\\x=2y+\frac{91}{171}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{-265}{21}-5x\\x+6y=\frac{73}{21}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{6}{7})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-33}{13}+6x\\4x+5y=\frac{-147}{13}\end{matrix}\right.\qquad V=\{(\frac{12}{13},-3)\}\)
3. \(\left\{\begin{matrix}2x+y=\frac{83}{8}\\-3x-5y=\frac{-163}{8}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{11}{8})\}\)
4. \(\left\{\begin{matrix}-3x+4y=\frac{828}{11}\\-4x=-y+\frac{246}{11}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},18)\}\)
5. \(\left\{\begin{matrix}-3x-2y=\frac{-123}{11}\\-x+y=\frac{69}{11}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},6)\}\)
6. \(\left\{\begin{matrix}-3x-4y=\frac{224}{3}\\-x=5y+\frac{115}{3}\end{matrix}\right.\qquad V=\{(-20,\frac{-11}{3})\}\)
7. \(\left\{\begin{matrix}6x-y=\frac{-37}{10}\\-3x=-6y+\frac{34}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{9}{10})\}\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-214}{35}\\-5x+y=\frac{-111}{14}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{1}{14})\}\)
9. \(\left\{\begin{matrix}5x-4y=\frac{-1}{10}\\-2x=y+-1\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{2}{5})\}\)
10. \(\left\{\begin{matrix}2y=\frac{-499}{22}-6x\\-x-5y=\frac{185}{44}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{-1}{11})\}\)
11. \(\left\{\begin{matrix}-2x+4y=\frac{-158}{7}\\-x-5y=\frac{166}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{7},-5)\}\)
12. \(\left\{\begin{matrix}2x-3y=\frac{146}{171}\\x=2y+\frac{91}{171}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{-4}{19})\}\)