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Substitutie of combinatie

  1. \(\left\{\begin{matrix}4x+2y=\frac{-96}{17}\\x+y=\frac{-14}{17}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}6x-5y=\frac{193}{6}\\6x-y=\frac{173}{6}\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}-2x+y=\frac{-23}{39}\\-3x=4y+\frac{-106}{39}\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}-4y=\frac{-257}{28}+3x\\5x+y=\frac{213}{28}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}5x-5y=\frac{-270}{11}\\-x=4y+\frac{-166}{11}\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}y=\frac{-51}{10}-3x\\-4x-6y=\frac{-71}{5}\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}-2x-2y=\frac{138}{17}\\4x=-y+\frac{-72}{17}\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}y=\frac{-52}{15}-4x\\5x-6y=\frac{-12}{5}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}-5y=\frac{131}{15}+6x\\x+2y=\frac{-37}{15}\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}-4y=\frac{187}{15}-2x\\4x+y=\frac{14}{15}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}-3x+6y=\frac{515}{48}\\-x-y=\frac{-109}{144}\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}3x+2y=\frac{1}{3}\\5x+y=\frac{-10}{3}\end{matrix}\right.\)

Substitutie of combinatie

Verbetersleutel

  1. \(\left\{\begin{matrix}4x+2y=\frac{-96}{17}\\x+y=\frac{-14}{17}\end{matrix}\right.\qquad V=\{(-2,\frac{20}{17})\}\)
  2. \(\left\{\begin{matrix}6x-5y=\frac{193}{6}\\6x-y=\frac{173}{6}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{-5}{6})\}\)
  3. \(\left\{\begin{matrix}-2x+y=\frac{-23}{39}\\-3x=4y+\frac{-106}{39}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{1}{3})\}\)
  4. \(\left\{\begin{matrix}-4y=\frac{-257}{28}+3x\\5x+y=\frac{213}{28}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{19}{14})\}\)
  5. \(\left\{\begin{matrix}5x-5y=\frac{-270}{11}\\-x=4y+\frac{-166}{11}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},4)\}\)
  6. \(\left\{\begin{matrix}y=\frac{-51}{10}-3x\\-4x-6y=\frac{-71}{5}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{9}{2})\}\)
  7. \(\left\{\begin{matrix}-2x-2y=\frac{138}{17}\\4x=-y+\frac{-72}{17}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},-4)\}\)
  8. \(\left\{\begin{matrix}y=\frac{-52}{15}-4x\\5x-6y=\frac{-12}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-4}{15})\}\)
  9. \(\left\{\begin{matrix}-5y=\frac{131}{15}+6x\\x+2y=\frac{-37}{15}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{-13}{15})\}\)
  10. \(\left\{\begin{matrix}-4y=\frac{187}{15}-2x\\4x+y=\frac{14}{15}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{-8}{3})\}\)
  11. \(\left\{\begin{matrix}-3x+6y=\frac{515}{48}\\-x-y=\frac{-109}{144}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},\frac{13}{9})\}\)
  12. \(\left\{\begin{matrix}3x+2y=\frac{1}{3}\\5x+y=\frac{-10}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{5}{3})\}\)
Oefeningengenerator wiskundeoefeningen.be 2026-01-25 15:09:12
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