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Substitutie of combinatie

  1. \(\left\{\begin{matrix}x+3y=\frac{241}{5}\\6x-4y=\frac{-314}{5}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}2x+2y=\frac{-4}{3}\\-x=2y+\frac{-1}{15}\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}-3y=\frac{4}{15}-2x\\5x-y=\frac{-14}{5}\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}4x+5y=\frac{96}{5}\\x=-6y+\frac{62}{5}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}3x-3y=\frac{1}{6}\\x=-y+\frac{37}{18}\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}-2y=\frac{13}{5}+3x\\x+6y=\frac{-11}{5}\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}3y=\frac{-3}{10}-3x\\x-4y=\frac{32}{5}\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}y=\frac{613}{42}+6x\\5x-4y=\frac{-200}{21}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}6x-4y=\frac{65}{3}\\-5x=-y+\frac{-419}{36}\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}6x-3y=\frac{7}{4}\\-x-6y=\frac{67}{8}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}5x-5y=\frac{-47}{3}\\-x=-y+\frac{47}{15}\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}5y=\frac{-194}{39}+6x\\-x+2y=\frac{-593}{234}\end{matrix}\right.\)

Substitutie of combinatie

Verbetersleutel

  1. \(\left\{\begin{matrix}x+3y=\frac{241}{5}\\6x-4y=\frac{-314}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},16)\}\)
  2. \(\left\{\begin{matrix}2x+2y=\frac{-4}{3}\\-x=2y+\frac{-1}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{11}{15})\}\)
  3. \(\left\{\begin{matrix}-3y=\frac{4}{15}-2x\\5x-y=\frac{-14}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-8}{15})\}\)
  4. \(\left\{\begin{matrix}4x+5y=\frac{96}{5}\\x=-6y+\frac{62}{5}\end{matrix}\right.\qquad V=\{(\frac{14}{5},\frac{8}{5})\}\)
  5. \(\left\{\begin{matrix}3x-3y=\frac{1}{6}\\x=-y+\frac{37}{18}\end{matrix}\right.\qquad V=\{(\frac{19}{18},1)\}\)
  6. \(\left\{\begin{matrix}-2y=\frac{13}{5}+3x\\x+6y=\frac{-11}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-1}{4})\}\)
  7. \(\left\{\begin{matrix}3y=\frac{-3}{10}-3x\\x-4y=\frac{32}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-13}{10})\}\)
  8. \(\left\{\begin{matrix}y=\frac{613}{42}+6x\\5x-4y=\frac{-200}{21}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{-5}{6})\}\)
  9. \(\left\{\begin{matrix}6x-4y=\frac{65}{3}\\-5x=-y+\frac{-419}{36}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{-11}{4})\}\)
  10. \(\left\{\begin{matrix}6x-3y=\frac{7}{4}\\-x-6y=\frac{67}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-4}{3})\}\)
  11. \(\left\{\begin{matrix}5x-5y=\frac{-47}{3}\\-x=-y+\frac{47}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{7}{15})\}\)
  12. \(\left\{\begin{matrix}5y=\frac{-194}{39}+6x\\-x+2y=\frac{-593}{234}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},\frac{-19}{13})\}\)
Oefeningengenerator wiskundeoefeningen.be 2026-05-09 02:42:22
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