Stelsels met breuken

Hoofdmenu Eentje per keer 

Substitutie of combinatie

  1. \(\left\{\begin{matrix}-2x-4y=\frac{-26}{133}\\x+y=\frac{-22}{133}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}3y=\frac{7}{4}+x\\-6x-2y=\frac{11}{2}\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}-5x+6y=\frac{395}{76}\\-x-6y=\frac{-37}{380}\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}-5y=\frac{53}{18}-x\\5x+4y=\frac{323}{18}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}4x-2y=\frac{-92}{13}\\5x=-y+\frac{-45}{13}\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}-6x+y=\frac{-268}{3}\\-3x+2y=\frac{-104}{3}\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}4x-5y=\frac{-1151}{48}\\x-y=\frac{-275}{48}\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}-3y=\frac{319}{70}-2x\\x-y=\frac{64}{35}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}-x+2y=\frac{145}{34}\\-2x-6y=\frac{-305}{34}\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}6x+4y=\frac{17}{10}\\-x=-2y+\frac{41}{20}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}4x+y=\frac{-29}{13}\\4x=-5y+\frac{-81}{13}\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}-2x-5y=\frac{-7}{2}\\-x=-y+\frac{-7}{10}\end{matrix}\right.\)

Substitutie of combinatie

Verbetersleutel

  1. \(\left\{\begin{matrix}-2x-4y=\frac{-26}{133}\\x+y=\frac{-22}{133}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{5}{19})\}\)
  2. \(\left\{\begin{matrix}3y=\frac{7}{4}+x\\-6x-2y=\frac{11}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{1}{4})\}\)
  3. \(\left\{\begin{matrix}-5x+6y=\frac{395}{76}\\-x-6y=\frac{-37}{380}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},\frac{3}{19})\}\)
  4. \(\left\{\begin{matrix}-5y=\frac{53}{18}-x\\5x+4y=\frac{323}{18}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{1}{9})\}\)
  5. \(\left\{\begin{matrix}4x-2y=\frac{-92}{13}\\5x=-y+\frac{-45}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{20}{13})\}\)
  6. \(\left\{\begin{matrix}-6x+y=\frac{-268}{3}\\-3x+2y=\frac{-104}{3}\end{matrix}\right.\qquad V=\{(16,\frac{20}{3})\}\)
  7. \(\left\{\begin{matrix}4x-5y=\frac{-1151}{48}\\x-y=\frac{-275}{48}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{17}{16})\}\)
  8. \(\left\{\begin{matrix}-3y=\frac{319}{70}-2x\\x-y=\frac{64}{35}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{-9}{10})\}\)
  9. \(\left\{\begin{matrix}-x+2y=\frac{145}{34}\\-2x-6y=\frac{-305}{34}\end{matrix}\right.\qquad V=\{(\frac{-13}{17},\frac{7}{4})\}\)
  10. \(\left\{\begin{matrix}6x+4y=\frac{17}{10}\\-x=-2y+\frac{41}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{7}{8})\}\)
  11. \(\left\{\begin{matrix}4x+y=\frac{-29}{13}\\4x=-5y+\frac{-81}{13}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},-1)\}\)
  12. \(\left\{\begin{matrix}-2x-5y=\frac{-7}{2}\\-x=-y+\frac{-7}{10}\end{matrix}\right.\qquad V=\{(1,\frac{3}{10})\}\)
Oefeningengenerator wiskundeoefeningen.be 2026-11-14 21:27:20
Een site van Busleyden Atheneum Mechelen