Stelsels met breuken

Hoofdmenu Eentje per keer 

Substitutie of combinatie

  1. \(\left\{\begin{matrix}5y=\frac{3}{7}-6x\\x+y=\frac{-3}{14}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}3x-2y=\frac{-23}{12}\\5x=y+\frac{-83}{72}\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}-6x-2y=\frac{224}{13}\\-4x=-y+\frac{574}{39}\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}-x-3y=\frac{-137}{22}\\-3x=-4y+\frac{313}{33}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}-5x-6y=\frac{-199}{84}\\-x-y=\frac{-53}{84}\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}-5y=\frac{-7}{4}+x\\2x+4y=\frac{-5}{2}\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}x+2y=\frac{23}{5}\\-5x=2y+-7\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}-3x+3y=\frac{-38}{33}\\x+y=\frac{16}{99}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}6x-y=\frac{-749}{130}\\5x+2y=\frac{-441}{65}\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}x+y=\frac{-35}{3}\\-3x-4y=\frac{110}{3}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}x+6y=\frac{113}{5}\\5x+5y=23\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}-4x+3y=\frac{-1153}{48}\\6x-y=\frac{601}{16}\end{matrix}\right.\)

Substitutie of combinatie

Verbetersleutel

  1. \(\left\{\begin{matrix}5y=\frac{3}{7}-6x\\x+y=\frac{-3}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-12}{7})\}\)
  2. \(\left\{\begin{matrix}3x-2y=\frac{-23}{12}\\5x=y+\frac{-83}{72}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{7}{8})\}\)
  3. \(\left\{\begin{matrix}-6x-2y=\frac{224}{13}\\-4x=-y+\frac{574}{39}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{18}{13})\}\)
  4. \(\left\{\begin{matrix}-x-3y=\frac{-137}{22}\\-3x=-4y+\frac{313}{33}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},\frac{13}{6})\}\)
  5. \(\left\{\begin{matrix}-5x-6y=\frac{-199}{84}\\-x-y=\frac{-53}{84}\end{matrix}\right.\qquad V=\{(\frac{17}{12},\frac{-11}{14})\}\)
  6. \(\left\{\begin{matrix}-5y=\frac{-7}{4}+x\\2x+4y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},1)\}\)
  7. \(\left\{\begin{matrix}x+2y=\frac{23}{5}\\-5x=2y+-7\end{matrix}\right.\qquad V=\{(\frac{3}{5},2)\}\)
  8. \(\left\{\begin{matrix}-3x+3y=\frac{-38}{33}\\x+y=\frac{16}{99}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{-1}{9})\}\)
  9. \(\left\{\begin{matrix}6x-y=\frac{-749}{130}\\5x+2y=\frac{-441}{65}\end{matrix}\right.\qquad V=\{(\frac{-14}{13},\frac{-7}{10})\}\)
  10. \(\left\{\begin{matrix}x+y=\frac{-35}{3}\\-3x-4y=\frac{110}{3}\end{matrix}\right.\qquad V=\{(-10,\frac{-5}{3})\}\)
  11. \(\left\{\begin{matrix}x+6y=\frac{113}{5}\\5x+5y=23\end{matrix}\right.\qquad V=\{(1,\frac{18}{5})\}\)
  12. \(\left\{\begin{matrix}-4x+3y=\frac{-1153}{48}\\6x-y=\frac{601}{16}\end{matrix}\right.\qquad V=\{(\frac{19}{3},\frac{7}{16})\}\)
Oefeningengenerator wiskundeoefeningen.be 2026-03-28 15:01:04
Een site van Busleyden Atheneum Mechelen