Stelsels met breuken

Hoofdmenu Eentje per keer  🖨

Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+2y=\frac{169}{102}\\-4x+y=\frac{55}{51}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+5y=\frac{-781}{119}\\5x-2y=\frac{1329}{119}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+2y=\frac{211}{16}\\-5x-y=\frac{-203}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-143}{28}-5x\\-5x-y=\frac{71}{28}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-4y=\frac{-40}{63}\\3x=-3y+\frac{-215}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+4y=26\\6x-y=31\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=-22+2x\\3x+6y=42\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-y=\frac{-97}{10}\\4x=4y+\frac{6}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+6y=\frac{-55}{14}\\-3x+y=\frac{-18}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+2y=16\\-6x=y+\frac{-110}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-2y=\frac{149}{26}\\3x+y=\frac{-149}{52}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+2y=\frac{1}{6}\\x=5y+\frac{19}{2}\end{matrix}\right.\)

---

Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+2y=\frac{169}{102}\\-4x+y=\frac{55}{51}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{7}{17})\}\)
2. \(\left\{\begin{matrix}-x+5y=\frac{-781}{119}\\5x-2y=\frac{1329}{119}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{-16}{17})\}\)
3. \(\left\{\begin{matrix}-3x+2y=\frac{211}{16}\\-5x-y=\frac{-203}{16}\end{matrix}\right.\qquad V=\{(\frac{15}{16},8)\}\)
4. \(\left\{\begin{matrix}3y=\frac{-143}{28}-5x\\-5x-y=\frac{71}{28}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-9}{7})\}\)
5. \(\left\{\begin{matrix}x-4y=\frac{-40}{63}\\3x=-3y+\frac{-215}{21}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},\frac{-5}{9})\}\)
6. \(\left\{\begin{matrix}6x+4y=26\\6x-y=31\end{matrix}\right.\qquad V=\{(5,-1)\}\)
7. \(\left\{\begin{matrix}-y=-22+2x\\3x+6y=42\end{matrix}\right.\qquad V=\{(10,2)\}\)
8. \(\left\{\begin{matrix}-3x-y=\frac{-97}{10}\\4x=4y+\frac{6}{5}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{11}{5})\}\)
9. \(\left\{\begin{matrix}5x+6y=\frac{-55}{14}\\-3x+y=\frac{-18}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-15}{14})\}\)
10. \(\left\{\begin{matrix}6x+2y=16\\-6x=y+\frac{-110}{7}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{2}{7})\}\)
11. \(\left\{\begin{matrix}-6x-2y=\frac{149}{26}\\3x+y=\frac{-149}{52}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},\frac{-5}{4})\}\)
12. \(\left\{\begin{matrix}3x+2y=\frac{1}{6}\\x=5y+\frac{19}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-5}{3})\}\)