Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-88}{21}+5x\\-6x+y=\frac{-25}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+4y=\frac{34}{3}\\x=-y+\frac{28}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-5}{3}\\4x+6y=14\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+6y=\frac{-106}{5}\\x-y=\frac{43}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{427}{4}-5x\\-x-y=\frac{73}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{44}{9}+2x\\-6x-y=\frac{110}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-3y=\frac{-27}{10}\\x+5y=\frac{-3}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+3y=-39\\5x=y+-44\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-5y=\frac{-79}{6}\\x=y+\frac{-83}{90}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=-40-5x\\-x+2y=14\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{-1168}{133}+4x\\-x+y=\frac{-271}{133}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{1042}{55}+5x\\2x+y=\frac{32}{55}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-88}{21}+5x\\-6x+y=\frac{-25}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{3}{7})\}\)
2. \(\left\{\begin{matrix}-6x+4y=\frac{34}{3}\\x=-y+\frac{28}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{9},3)\}\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-5}{3}\\4x+6y=14\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{4}{3})\}\)
4. \(\left\{\begin{matrix}6x+6y=\frac{-106}{5}\\x-y=\frac{43}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-16}{5})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{427}{4}-5x\\-x-y=\frac{73}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},-18)\}\)
6. \(\left\{\begin{matrix}-4y=\frac{44}{9}+2x\\-6x-y=\frac{110}{9}\end{matrix}\right.\qquad V=\{(-2,\frac{-2}{9})\}\)
7. \(\left\{\begin{matrix}-6x-3y=\frac{-27}{10}\\x+5y=\frac{-3}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{-4}{15})\}\)
8. \(\left\{\begin{matrix}3x+3y=-39\\5x=y+-44\end{matrix}\right.\qquad V=\{(\frac{-19}{2},\frac{-7}{2})\}\)
9. \(\left\{\begin{matrix}-6x-5y=\frac{-79}{6}\\x=y+\frac{-83}{90}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{17}{10})\}\)
10. \(\left\{\begin{matrix}5y=-40-5x\\-x+2y=14\end{matrix}\right.\qquad V=\{(-10,2)\}\)
11. \(\left\{\begin{matrix}-2y=\frac{-1168}{133}+4x\\-x+y=\frac{-271}{133}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{2}{19})\}\)
12. \(\left\{\begin{matrix}6y=\frac{1042}{55}+5x\\2x+y=\frac{32}{55}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{12}{5})\}\)