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Substitutie of combinatie

  1. \(\left\{\begin{matrix}-3x+2y=\frac{-244}{51}\\-6x=-y+\frac{-284}{51}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}5y=\frac{93}{221}+2x\\-x+2y=\frac{27}{221}\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}3x+y=\frac{-61}{17}\\-6x+3y=\frac{-48}{17}\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}2x-2y=\frac{-314}{57}\\-3x=y+\frac{201}{19}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}-3x-3y=\frac{101}{24}\\-3x=-y+\frac{-209}{72}\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}-5x-4y=\frac{116}{5}\\x=4y+4\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}3y=\frac{125}{22}-4x\\-6x-y=\frac{-571}{44}\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}6x-2y=\frac{-16}{21}\\x=-3y+\frac{-32}{7}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}3y=\frac{-109}{30}-2x\\-4x-y=\frac{83}{30}\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}-2y=\frac{19}{6}+2x\\2x-y=\frac{-11}{12}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}-2y=\frac{92}{33}-4x\\2x-y=\frac{46}{33}\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}-6y=\frac{21}{8}-6x\\-x+y=\frac{-7}{16}\end{matrix}\right.\)

Substitutie of combinatie

Verbetersleutel

  1. \(\left\{\begin{matrix}-3x+2y=\frac{-244}{51}\\-6x=-y+\frac{-284}{51}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{-4}{3})\}\)
  2. \(\left\{\begin{matrix}5y=\frac{93}{221}+2x\\-x+2y=\frac{27}{221}\end{matrix}\right.\qquad V=\{(\frac{3}{13},\frac{3}{17})\}\)
  3. \(\left\{\begin{matrix}3x+y=\frac{-61}{17}\\-6x+3y=\frac{-48}{17}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},-2)\}\)
  4. \(\left\{\begin{matrix}2x-2y=\frac{-314}{57}\\-3x=y+\frac{201}{19}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-11}{19})\}\)
  5. \(\left\{\begin{matrix}-3x-3y=\frac{101}{24}\\-3x=-y+\frac{-209}{72}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{-16}{9})\}\)
  6. \(\left\{\begin{matrix}-5x-4y=\frac{116}{5}\\x=4y+4\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{-9}{5})\}\)
  7. \(\left\{\begin{matrix}3y=\frac{125}{22}-4x\\-6x-y=\frac{-571}{44}\end{matrix}\right.\qquad V=\{(\frac{19}{8},\frac{-14}{11})\}\)
  8. \(\left\{\begin{matrix}6x-2y=\frac{-16}{21}\\x=-3y+\frac{-32}{7}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-4}{3})\}\)
  9. \(\left\{\begin{matrix}3y=\frac{-109}{30}-2x\\-4x-y=\frac{83}{30}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{-9}{10})\}\)
  10. \(\left\{\begin{matrix}-2y=\frac{19}{6}+2x\\2x-y=\frac{-11}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-3}{4})\}\)
  11. \(\left\{\begin{matrix}-2y=\frac{92}{33}-4x\\2x-y=\frac{46}{33}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{-8}{3})\}\)
  12. \(\left\{\begin{matrix}-6y=\frac{21}{8}-6x\\-x+y=\frac{-7}{16}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{-11}{8})\}\)
Oefeningengenerator wiskundeoefeningen.be 2026-01-21 21:39:33
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