Stelsels met breuken

Hoofdmenu Eentje per keer 

Substitutie of combinatie

  1. \(\left\{\begin{matrix}x-y=\frac{-51}{38}\\5x+5y=\frac{65}{38}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}5y=\frac{86}{21}-x\\5x+6y=\frac{316}{21}\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}5y=\frac{-875}{144}+5x\\-4x+y=\frac{-91}{36}\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}5x-2y=\frac{-44}{63}\\-6x-y=\frac{191}{21}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}-4x-2y=\frac{-39}{2}\\x+6y=\frac{479}{8}\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}-4x-4y=\frac{50}{3}\\-x=6y+\frac{65}{3}\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}y=\frac{-45}{7}+6x\\6x+4y=\frac{-165}{7}\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}4x-2y=\frac{81}{10}\\-x+4y=\frac{-99}{10}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}4x+2y=\frac{-12}{7}\\-4x+y=\frac{36}{7}\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}-2x-4y=\frac{-175}{3}\\5x+y=\frac{119}{6}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}-2x-2y=\frac{43}{10}\\-3x-y=\frac{-1}{20}\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}-5y=\frac{-176}{51}+3x\\x-2y=\frac{-517}{255}\end{matrix}\right.\)

Substitutie of combinatie

Verbetersleutel

  1. \(\left\{\begin{matrix}x-y=\frac{-51}{38}\\5x+5y=\frac{65}{38}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{16}{19})\}\)
  2. \(\left\{\begin{matrix}5y=\frac{86}{21}-x\\5x+6y=\frac{316}{21}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{2}{7})\}\)
  3. \(\left\{\begin{matrix}5y=\frac{-875}{144}+5x\\-4x+y=\frac{-91}{36}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{-7}{9})\}\)
  4. \(\left\{\begin{matrix}5x-2y=\frac{-44}{63}\\-6x-y=\frac{191}{21}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-17}{7})\}\)
  5. \(\left\{\begin{matrix}-4x-2y=\frac{-39}{2}\\x+6y=\frac{479}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},10)\}\)
  6. \(\left\{\begin{matrix}-4x-4y=\frac{50}{3}\\-x=6y+\frac{65}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-7}{2})\}\)
  7. \(\left\{\begin{matrix}y=\frac{-45}{7}+6x\\6x+4y=\frac{-165}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{14},-6)\}\)
  8. \(\left\{\begin{matrix}4x-2y=\frac{81}{10}\\-x+4y=\frac{-99}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{-9}{4})\}\)
  9. \(\left\{\begin{matrix}4x+2y=\frac{-12}{7}\\-4x+y=\frac{36}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{8}{7})\}\)
  10. \(\left\{\begin{matrix}-2x-4y=\frac{-175}{3}\\5x+y=\frac{119}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{6},14)\}\)
  11. \(\left\{\begin{matrix}-2x-2y=\frac{43}{10}\\-3x-y=\frac{-1}{20}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{-13}{4})\}\)
  12. \(\left\{\begin{matrix}-5y=\frac{-176}{51}+3x\\x-2y=\frac{-517}{255}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{13}{15})\}\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-24 17:53:56
Een site van Busleyden Atheneum Mechelen