Stelsels met breuken

Hoofdmenu Eentje per keer 

Substitutie of combinatie

  1. \(\left\{\begin{matrix}x+2y=\frac{20}{3}\\2x-6y=\frac{-5}{2}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}-x+y=\frac{17}{72}\\-3x=6y+\frac{-5}{12}\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}-4y=\frac{-74}{15}+6x\\-x-2y=\frac{-181}{45}\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}-2y=\frac{-17}{19}+x\\6x-2y=\frac{-24}{19}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}-5y=\frac{805}{68}-5x\\x+5y=\frac{-295}{68}\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}3y=\frac{523}{156}+x\\-5x+3y=\frac{887}{156}\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}-3y=\frac{-284}{117}+x\\4x-5y=\frac{-547}{117}\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}3y=\frac{27}{20}+4x\\-x-6y=\frac{-621}{80}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}-5x-4y=\frac{172}{39}\\-2x=-y+\frac{35}{39}\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}-x-5y=\frac{-17}{15}\\6x-2y=\frac{22}{15}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}2y=\frac{17}{4}-2x\\x+y=\frac{17}{8}\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}-4x-y=\frac{-791}{57}\\3x+5y=\frac{134}{19}\end{matrix}\right.\)

Substitutie of combinatie

Verbetersleutel

  1. \(\left\{\begin{matrix}x+2y=\frac{20}{3}\\2x-6y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{19}{12})\}\)
  2. \(\left\{\begin{matrix}-x+y=\frac{17}{72}\\-3x=6y+\frac{-5}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{1}{8})\}\)
  3. \(\left\{\begin{matrix}-4y=\frac{-74}{15}+6x\\-x-2y=\frac{-181}{45}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{12}{5})\}\)
  4. \(\left\{\begin{matrix}-2y=\frac{-17}{19}+x\\6x-2y=\frac{-24}{19}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{9}{19})\}\)
  5. \(\left\{\begin{matrix}-5y=\frac{805}{68}-5x\\x+5y=\frac{-295}{68}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-19}{17})\}\)
  6. \(\left\{\begin{matrix}3y=\frac{523}{156}+x\\-5x+3y=\frac{887}{156}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{12}{13})\}\)
  7. \(\left\{\begin{matrix}-3y=\frac{-284}{117}+x\\4x-5y=\frac{-547}{117}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{11}{13})\}\)
  8. \(\left\{\begin{matrix}3y=\frac{27}{20}+4x\\-x-6y=\frac{-621}{80}\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{6}{5})\}\)
  9. \(\left\{\begin{matrix}-5x-4y=\frac{172}{39}\\-2x=-y+\frac{35}{39}\end{matrix}\right.\qquad V=\{(\frac{-8}{13},\frac{-1}{3})\}\)
  10. \(\left\{\begin{matrix}-x-5y=\frac{-17}{15}\\6x-2y=\frac{22}{15}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{1}{6})\}\)
  11. \(\left\{\begin{matrix}2y=\frac{17}{4}-2x\\x+y=\frac{17}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{5}{8})\}\)
  12. \(\left\{\begin{matrix}-4x-y=\frac{-791}{57}\\3x+5y=\frac{134}{19}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{-15}{19})\}\)
Oefeningengenerator wiskundeoefeningen.be 2026-01-25 06:47:49
Een site van Busleyden Atheneum Mechelen