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Substitutie of combinatie

  1. \(\left\{\begin{matrix}y=\frac{36}{5}+3x\\6x-2y=\frac{-72}{5}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}-2y=\frac{-606}{247}+2x\\-x+5y=\frac{1749}{247}\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}2x-4y=\frac{-19}{10}\\-3x=y+\frac{-13}{20}\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}3x+y=\frac{-185}{14}\\4x+6y=\frac{-114}{7}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}-x+5y=\frac{-149}{5}\\6x+2y=\frac{-66}{5}\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}-4x-y=\frac{14}{9}\\-3x=2y+\frac{-4}{3}\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}5x+y=\frac{-265}{114}\\5x+4y=\frac{10}{57}\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}3x-3y=\frac{107}{12}\\-x=6y+\frac{25}{12}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}-2y=\frac{157}{22}-x\\-3x+5y=\frac{-475}{22}\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}5x+6y=\frac{722}{17}\\x=-5y+\frac{171}{17}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}-5x-5y=\frac{-25}{2}\\x+4y=4\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}2x+2y=\frac{384}{13}\\-x=5y+\frac{-972}{13}\end{matrix}\right.\)

Substitutie of combinatie

Verbetersleutel

  1. \(\left\{\begin{matrix}y=\frac{36}{5}+3x\\6x-2y=\frac{-72}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{6}{5})\}\)
  2. \(\left\{\begin{matrix}-2y=\frac{-606}{247}+2x\\-x+5y=\frac{1749}{247}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{18}{13})\}\)
  3. \(\left\{\begin{matrix}2x-4y=\frac{-19}{10}\\-3x=y+\frac{-13}{20}\end{matrix}\right.\qquad V=\{(\frac{1}{20},\frac{1}{2})\}\)
  4. \(\left\{\begin{matrix}3x+y=\frac{-185}{14}\\4x+6y=\frac{-114}{7}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{2}{7})\}\)
  5. \(\left\{\begin{matrix}-x+5y=\frac{-149}{5}\\6x+2y=\frac{-66}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},-6)\}\)
  6. \(\left\{\begin{matrix}-4x-y=\frac{14}{9}\\-3x=2y+\frac{-4}{3}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},2)\}\)
  7. \(\left\{\begin{matrix}5x+y=\frac{-265}{114}\\5x+4y=\frac{10}{57}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},\frac{5}{6})\}\)
  8. \(\left\{\begin{matrix}3x-3y=\frac{107}{12}\\-x=6y+\frac{25}{12}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-13}{18})\}\)
  9. \(\left\{\begin{matrix}-2y=\frac{157}{22}-x\\-3x+5y=\frac{-475}{22}\end{matrix}\right.\qquad V=\{(\frac{15}{2},\frac{2}{11})\}\)
  10. \(\left\{\begin{matrix}5x+6y=\frac{722}{17}\\x=-5y+\frac{171}{17}\end{matrix}\right.\qquad V=\{(8,\frac{7}{17})\}\)
  11. \(\left\{\begin{matrix}-5x-5y=\frac{-25}{2}\\x+4y=4\end{matrix}\right.\qquad V=\{(2,\frac{1}{2})\}\)
  12. \(\left\{\begin{matrix}2x+2y=\frac{384}{13}\\-x=5y+\frac{-972}{13}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},15)\}\)
Oefeningengenerator wiskundeoefeningen.be 2026-03-06 06:16:49
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