Stelsels met breuken

Hoofdmenu Eentje per keer 

Substitutie of combinatie

  1. \(\left\{\begin{matrix}x+6y=\frac{-441}{247}\\4x=4y+\frac{-1036}{247}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}x-4y=\frac{68}{7}\\5x-2y=\frac{-20}{7}\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}-3x-6y=\frac{471}{4}\\-4x=y+24\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}x-y=\frac{59}{3}\\2x=5y+\frac{169}{3}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}-3x-5y=-34\\x=y+-10\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}6x+4y=20\\x-5y=\frac{1}{2}\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}-3y=\frac{21}{2}+6x\\5x+y=\frac{-31}{4}\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}-5x-3y=\frac{-305}{136}\\2x-y=\frac{309}{136}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}3x+y=\frac{-1}{2}\\-2x=4y+-8\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}3x+6y=44\\x=5y+\frac{179}{6}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}4x+6y=\frac{-33}{2}\\-x-y=\frac{25}{8}\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}-5y=\frac{565}{26}-2x\\-x-5y=\frac{595}{26}\end{matrix}\right.\)

Substitutie of combinatie

Verbetersleutel

  1. \(\left\{\begin{matrix}x+6y=\frac{-441}{247}\\4x=4y+\frac{-1036}{247}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},\frac{-2}{19})\}\)
  2. \(\left\{\begin{matrix}x-4y=\frac{68}{7}\\5x-2y=\frac{-20}{7}\end{matrix}\right.\qquad V=\{(\frac{-12}{7},\frac{-20}{7})\}\)
  3. \(\left\{\begin{matrix}-3x-6y=\frac{471}{4}\\-4x=y+24\end{matrix}\right.\qquad V=\{(\frac{-5}{4},-19)\}\)
  4. \(\left\{\begin{matrix}x-y=\frac{59}{3}\\2x=5y+\frac{169}{3}\end{matrix}\right.\qquad V=\{(14,\frac{-17}{3})\}\)
  5. \(\left\{\begin{matrix}-3x-5y=-34\\x=y+-10\end{matrix}\right.\qquad V=\{(-2,8)\}\)
  6. \(\left\{\begin{matrix}6x+4y=20\\x-5y=\frac{1}{2}\end{matrix}\right.\qquad V=\{(3,\frac{1}{2})\}\)
  7. \(\left\{\begin{matrix}-3y=\frac{21}{2}+6x\\5x+y=\frac{-31}{4}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{-2}{3})\}\)
  8. \(\left\{\begin{matrix}-5x-3y=\frac{-305}{136}\\2x-y=\frac{309}{136}\end{matrix}\right.\qquad V=\{(\frac{14}{17},\frac{-5}{8})\}\)
  9. \(\left\{\begin{matrix}3x+y=\frac{-1}{2}\\-2x=4y+-8\end{matrix}\right.\qquad V=\{(-1,\frac{5}{2})\}\)
  10. \(\left\{\begin{matrix}3x+6y=44\\x=5y+\frac{179}{6}\end{matrix}\right.\qquad V=\{(19,\frac{-13}{6})\}\)
  11. \(\left\{\begin{matrix}4x+6y=\frac{-33}{2}\\-x-y=\frac{25}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},-2)\}\)
  12. \(\left\{\begin{matrix}-5y=\frac{565}{26}-2x\\-x-5y=\frac{595}{26}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{-9}{2})\}\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-11 02:55:33
Een site van Busleyden Atheneum Mechelen