Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}x-3y=\frac{-813}{266}\\-4x+2y=\frac{366}{133}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+5y=\frac{12}{5}\\x=y+\frac{3}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=11+3x\\-2x-y=\frac{-14}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-6y=\frac{-2458}{255}\\-x+2y=\frac{383}{255}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{305}{9}-5x\\x+2y=\frac{97}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-4y=\frac{-23}{12}\\2x-y=-1\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+y=\frac{1171}{182}\\-6x-6y=\frac{-3}{91}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+y=\frac{-54}{5}\\-6x+3y=\frac{-162}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-y=\frac{3}{20}\\5x-5y=\frac{-3}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-3y=\frac{172}{35}\\-x=2y+\frac{12}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{2}{15}\\x+6y=\frac{-11}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-3y=-6\\-x=2y+1\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-3y=\frac{-813}{266}\\-4x+2y=\frac{366}{133}\end{matrix}\right.\qquad V=\{(\frac{-3}{14},\frac{18}{19})\}\)
2. \(\left\{\begin{matrix}-2x+5y=\frac{12}{5}\\x=y+\frac{3}{10}\end{matrix}\right.\qquad V=\{(\frac{13}{10},1)\}\)
3. \(\left\{\begin{matrix}3y=11+3x\\-2x-y=\frac{-14}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},4)\}\)
4. \(\left\{\begin{matrix}-4x-6y=\frac{-2458}{255}\\-x+2y=\frac{383}{255}\end{matrix}\right.\qquad V=\{(\frac{11}{15},\frac{19}{17})\}\)
5. \(\left\{\begin{matrix}6y=\frac{305}{9}-5x\\x+2y=\frac{97}{9}\end{matrix}\right.\qquad V=\{(\frac{7}{9},5)\}\)
6. \(\left\{\begin{matrix}3x-4y=\frac{-23}{12}\\2x-y=-1\end{matrix}\right.\qquad V=\{(\frac{-5}{12},\frac{1}{6})\}\)
7. \(\left\{\begin{matrix}-5x+y=\frac{1171}{182}\\-6x-6y=\frac{-3}{91}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},\frac{14}{13})\}\)
8. \(\left\{\begin{matrix}-2x+y=\frac{-54}{5}\\-6x+3y=\frac{-162}{5}\end{matrix}\right.\qquad V=\{(6,\frac{6}{5})\}\)
9. \(\left\{\begin{matrix}4x-y=\frac{3}{20}\\5x-5y=\frac{-3}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{1}{4})\}\)
10. \(\left\{\begin{matrix}4x-3y=\frac{172}{35}\\-x=2y+\frac{12}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-4}{7})\}\)
11. \(\left\{\begin{matrix}-2x-4y=\frac{2}{15}\\x+6y=\frac{-11}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-8}{15})\}\)
12. \(\left\{\begin{matrix}2x-3y=-6\\-x=2y+1\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{4}{7})\}\)