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Substitutie of combinatie

  1. \(\left\{\begin{matrix}-4x-2y=\frac{44}{7}\\2x-y=\frac{-20}{7}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}-6x+2y=-29\\4x+y=24\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}-4x+4y=\frac{-84}{187}\\x=5y+\frac{-507}{187}\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}5x+y=\frac{397}{38}\\5x+6y=\frac{577}{38}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}2y=\frac{-19}{3}-3x\\x+y=\frac{-8}{3}\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}-y=\frac{101}{36}-2x\\6x-4y=\frac{23}{3}\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}-3y=\frac{-21}{10}+4x\\x-y=\frac{7}{40}\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}5x+5y=\frac{-590}{63}\\-3x-y=\frac{172}{63}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}3x-5y=\frac{7}{12}\\-x=6y+\frac{-107}{18}\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}5y=\frac{717}{136}-6x\\-4x+y=\frac{-83}{68}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}-5x-y=\frac{87}{4}\\-3x=-2y+\frac{47}{4}\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}-3x+3y=\frac{-471}{380}\\-x+y=\frac{-157}{380}\end{matrix}\right.\)

Substitutie of combinatie

Verbetersleutel

  1. \(\left\{\begin{matrix}-4x-2y=\frac{44}{7}\\2x-y=\frac{-20}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-1}{7})\}\)
  2. \(\left\{\begin{matrix}-6x+2y=-29\\4x+y=24\end{matrix}\right.\qquad V=\{(\frac{11}{2},2)\}\)
  3. \(\left\{\begin{matrix}-4x+4y=\frac{-84}{187}\\x=5y+\frac{-507}{187}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{12}{17})\}\)
  4. \(\left\{\begin{matrix}5x+y=\frac{397}{38}\\5x+6y=\frac{577}{38}\end{matrix}\right.\qquad V=\{(\frac{19}{10},\frac{18}{19})\}\)
  5. \(\left\{\begin{matrix}2y=\frac{-19}{3}-3x\\x+y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-5}{3})\}\)
  6. \(\left\{\begin{matrix}-y=\frac{101}{36}-2x\\6x-4y=\frac{23}{3}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{3}{4})\}\)
  7. \(\left\{\begin{matrix}-3y=\frac{-21}{10}+4x\\x-y=\frac{7}{40}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{1}{5})\}\)
  8. \(\left\{\begin{matrix}5x+5y=\frac{-590}{63}\\-3x-y=\frac{172}{63}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-13}{9})\}\)
  9. \(\left\{\begin{matrix}3x-5y=\frac{7}{12}\\-x=6y+\frac{-107}{18}\end{matrix}\right.\qquad V=\{(\frac{13}{9},\frac{3}{4})\}\)
  10. \(\left\{\begin{matrix}5y=\frac{717}{136}-6x\\-4x+y=\frac{-83}{68}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{9}{17})\}\)
  11. \(\left\{\begin{matrix}-5x-y=\frac{87}{4}\\-3x=-2y+\frac{47}{4}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{-1}{2})\}\)
  12. \(\left\{\begin{matrix}-3x+3y=\frac{-471}{380}\\-x+y=\frac{-157}{380}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{-5}{19})\}\)
Oefeningengenerator wiskundeoefeningen.be 2026-04-08 19:43:50
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