Stelsels substitutie (reeks 2)

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Substitutie

  1. \(\left\{\begin{matrix}-y=\frac{-31}{2}+5x\\-4x-6y=\frac{-49}{5}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}x-3y=-59\\-3x+5y=97\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}6y=\frac{-9}{10}-3x\\-x+3y=\frac{-169}{20}\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}-6y=\frac{-61}{6}-5x\\-x-4y=\frac{-161}{18}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}-x-4y=\frac{-1073}{48}\\4x=-4y+\frac{257}{12}\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}6x+4y=\frac{32}{9}\\-x-y=\frac{-13}{18}\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}4x-2y=\frac{460}{117}\\5x-y=\frac{770}{117}\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}x+4y=\frac{877}{140}\\-2x=2y+\frac{-277}{70}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}4x+2y=\frac{-23}{6}\\-x=y+\frac{83}{60}\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}-5y=\frac{-545}{33}-5x\\-3x-y=\frac{81}{11}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}x-2y=\frac{-53}{15}\\2x=-3y+\frac{11}{10}\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}5x+6y=\frac{40}{21}\\4x-y=\frac{-142}{21}\end{matrix}\right.\)

Substitutie

Verbetersleutel

  1. \(\left\{\begin{matrix}-y=\frac{-31}{2}+5x\\-4x-6y=\frac{-49}{5}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-1}{2})\}\)
  2. \(\left\{\begin{matrix}x-3y=-59\\-3x+5y=97\end{matrix}\right.\qquad V=\{(1,20)\}\)
  3. \(\left\{\begin{matrix}6y=\frac{-9}{10}-3x\\-x+3y=\frac{-169}{20}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-7}{4})\}\)
  4. \(\left\{\begin{matrix}-6y=\frac{-61}{6}-5x\\-x-4y=\frac{-161}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{19}{9})\}\)
  5. \(\left\{\begin{matrix}-x-4y=\frac{-1073}{48}\\4x=-4y+\frac{257}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{17}{3})\}\)
  6. \(\left\{\begin{matrix}6x+4y=\frac{32}{9}\\-x-y=\frac{-13}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{7}{18})\}\)
  7. \(\left\{\begin{matrix}4x-2y=\frac{460}{117}\\5x-y=\frac{770}{117}\end{matrix}\right.\qquad V=\{(\frac{20}{13},\frac{10}{9})\}\)
  8. \(\left\{\begin{matrix}x+4y=\frac{877}{140}\\-2x=2y+\frac{-277}{70}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{10}{7})\}\)
  9. \(\left\{\begin{matrix}4x+2y=\frac{-23}{6}\\-x=y+\frac{83}{60}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{-17}{20})\}\)
  10. \(\left\{\begin{matrix}-5y=\frac{-545}{33}-5x\\-3x-y=\frac{81}{11}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{7}{11})\}\)
  11. \(\left\{\begin{matrix}x-2y=\frac{-53}{15}\\2x=-3y+\frac{11}{10}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{7}{6})\}\)
  12. \(\left\{\begin{matrix}5x+6y=\frac{40}{21}\\4x-y=\frac{-142}{21}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{10}{7})\}\)
Oefeningengenerator vanhoeckes.be/wiskunde 2022-06-27 06:39:59