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Substitutie of combinatie

  1. \(\left\{\begin{matrix}x+2y=\frac{87}{13}\\-4x+2y=\frac{-238}{13}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}-4y=\frac{-1021}{136}+5x\\-2x-y=\frac{-185}{68}\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}x+5y=\frac{-41}{9}\\-5x=3y+\frac{17}{3}\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}6y=-19-x\\-4x-3y=\frac{31}{4}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}3x+3y=\frac{-213}{65}\\-3x=y+\frac{383}{65}\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}-5x+5y=\frac{79}{6}\\x=y+\frac{-79}{30}\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}x-3y=\frac{-23}{6}\\-4x-4y=\frac{122}{9}\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}5x+3y=\frac{-56}{15}\\x+y=\frac{-4}{5}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}-5y=\frac{11}{30}+x\\5x+2y=\frac{52}{3}\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}-3y=\frac{-39}{35}-2x\\x-4y=\frac{18}{35}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}4y=\frac{-49}{6}-3x\\3x-y=\frac{-22}{3}\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}-3x-y=\frac{15}{8}\\5x=4y+\frac{111}{8}\end{matrix}\right.\)

Substitutie of combinatie

Verbetersleutel

  1. \(\left\{\begin{matrix}x+2y=\frac{87}{13}\\-4x+2y=\frac{-238}{13}\end{matrix}\right.\qquad V=\{(5,\frac{11}{13})\}\)
  2. \(\left\{\begin{matrix}-4y=\frac{-1021}{136}+5x\\-2x-y=\frac{-185}{68}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{8}{17})\}\)
  3. \(\left\{\begin{matrix}x+5y=\frac{-41}{9}\\-5x=3y+\frac{17}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-7}{9})\}\)
  4. \(\left\{\begin{matrix}6y=-19-x\\-4x-3y=\frac{31}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-13}{4})\}\)
  5. \(\left\{\begin{matrix}3x+3y=\frac{-213}{65}\\-3x=y+\frac{383}{65}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{17}{13})\}\)
  6. \(\left\{\begin{matrix}-5x+5y=\frac{79}{6}\\x=y+\frac{-79}{30}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-7}{10})\}\)
  7. \(\left\{\begin{matrix}x-3y=\frac{-23}{6}\\-4x-4y=\frac{122}{9}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{1}{9})\}\)
  8. \(\left\{\begin{matrix}5x+3y=\frac{-56}{15}\\x+y=\frac{-4}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-2}{15})\}\)
  9. \(\left\{\begin{matrix}-5y=\frac{11}{30}+x\\5x+2y=\frac{52}{3}\end{matrix}\right.\qquad V=\{(\frac{19}{5},\frac{-5}{6})\}\)
  10. \(\left\{\begin{matrix}-3y=\frac{-39}{35}-2x\\x-4y=\frac{18}{35}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-3}{7})\}\)
  11. \(\left\{\begin{matrix}4y=\frac{-49}{6}-3x\\3x-y=\frac{-22}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-1}{6})\}\)
  12. \(\left\{\begin{matrix}-3x-y=\frac{15}{8}\\5x=4y+\frac{111}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{8},-3)\}\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-17 14:54:32
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