Stelsels met breuken

Hoofdmenu Eentje per keer 

Substitutie of combinatie

  1. \(\left\{\begin{matrix}3x-2y=0\\-x+3y=\frac{-7}{3}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}-4y=\frac{61}{14}+4x\\3x+y=\frac{-141}{56}\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}-2x-4y=\frac{28}{5}\\4x=-y+\frac{-203}{20}\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}3x-3y=\frac{-52}{3}\\3x=-y+\frac{-128}{9}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}-4y=\frac{-11}{6}-6x\\-3x+y=\frac{7}{24}\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}-x+2y=\frac{41}{9}\\6x=4y+\frac{-134}{9}\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}6x+3y=\frac{-36}{91}\\-x=y+\frac{89}{182}\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}-2y=\frac{-69}{20}-x\\-6x+4y=\frac{197}{10}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}-2y=\frac{722}{21}+5x\\x+5y=\frac{-551}{42}\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}-5x+6y=\frac{2}{5}\\-x+y=\frac{-1}{10}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}-y=\frac{-91}{34}-2x\\-6x-2y=\frac{73}{34}\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}-5x-3y=\frac{-116}{13}\\-x=-4y+\frac{55}{13}\end{matrix}\right.\)

Substitutie of combinatie

Verbetersleutel

  1. \(\left\{\begin{matrix}3x-2y=0\\-x+3y=\frac{-7}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-1)\}\)
  2. \(\left\{\begin{matrix}-4y=\frac{61}{14}+4x\\3x+y=\frac{-141}{56}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-3}{8})\}\)
  3. \(\left\{\begin{matrix}-2x-4y=\frac{28}{5}\\4x=-y+\frac{-203}{20}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-3}{20})\}\)
  4. \(\left\{\begin{matrix}3x-3y=\frac{-52}{3}\\3x=-y+\frac{-128}{9}\end{matrix}\right.\qquad V=\{(-5,\frac{7}{9})\}\)
  5. \(\left\{\begin{matrix}-4y=\frac{-11}{6}-6x\\-3x+y=\frac{7}{24}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{5}{8})\}\)
  6. \(\left\{\begin{matrix}-x+2y=\frac{41}{9}\\6x=4y+\frac{-134}{9}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},\frac{14}{9})\}\)
  7. \(\left\{\begin{matrix}6x+3y=\frac{-36}{91}\\-x=y+\frac{89}{182}\end{matrix}\right.\qquad V=\{(\frac{5}{14},\frac{-11}{13})\}\)
  8. \(\left\{\begin{matrix}-2y=\frac{-69}{20}-x\\-6x+4y=\frac{197}{10}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{1}{8})\}\)
  9. \(\left\{\begin{matrix}-2y=\frac{722}{21}+5x\\x+5y=\frac{-551}{42}\end{matrix}\right.\qquad V=\{(\frac{-19}{3},\frac{-19}{14})\}\)
  10. \(\left\{\begin{matrix}-5x+6y=\frac{2}{5}\\-x+y=\frac{-1}{10}\end{matrix}\right.\qquad V=\{(1,\frac{9}{10})\}\)
  11. \(\left\{\begin{matrix}-y=\frac{-91}{34}-2x\\-6x-2y=\frac{73}{34}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{20}{17})\}\)
  12. \(\left\{\begin{matrix}-5x-3y=\frac{-116}{13}\\-x=-4y+\frac{55}{13}\end{matrix}\right.\qquad V=\{(1,\frac{17}{13})\}\)
Oefeningengenerator wiskundeoefeningen.be 2026-04-11 04:35:40
Een site van Busleyden Atheneum Mechelen