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Substitutie of combinatie

  1. \(\left\{\begin{matrix}x+2y=\frac{-11}{9}\\-3x+4y=\frac{-23}{6}\end{matrix}\right.\)
  2. \(\left\{\begin{matrix}-x+y=\frac{-12}{5}\\-3x=-3y+\frac{-36}{5}\end{matrix}\right.\)
  3. \(\left\{\begin{matrix}6x-6y=\frac{-375}{7}\\x-6y=\frac{-360}{7}\end{matrix}\right.\)
  4. \(\left\{\begin{matrix}-x-2y=\frac{-1}{10}\\2x=4y+\frac{-21}{5}\end{matrix}\right.\)
  5. \(\left\{\begin{matrix}x+3y=\frac{49}{57}\\-2x+6y=\frac{-22}{57}\end{matrix}\right.\)
  6. \(\left\{\begin{matrix}5y=\frac{457}{70}+6x\\x-y=\frac{-221}{210}\end{matrix}\right.\)
  7. \(\left\{\begin{matrix}-5x+6y=\frac{573}{119}\\-5x=-y+\frac{891}{238}\end{matrix}\right.\)
  8. \(\left\{\begin{matrix}-5y=\frac{-613}{13}+2x\\-x+4y=\frac{454}{13}\end{matrix}\right.\)
  9. \(\left\{\begin{matrix}-3x+4y=\frac{53}{34}\\5x+y=\frac{-449}{102}\end{matrix}\right.\)
  10. \(\left\{\begin{matrix}3x-5y=\frac{-5}{6}\\-x+y=\frac{37}{90}\end{matrix}\right.\)
  11. \(\left\{\begin{matrix}-6x+y=\frac{131}{9}\\6x-5y=\frac{-115}{9}\end{matrix}\right.\)
  12. \(\left\{\begin{matrix}-2x+5y=\frac{310}{39}\\-x-2y=\frac{344}{39}\end{matrix}\right.\)

Substitutie of combinatie

Verbetersleutel

  1. \(\left\{\begin{matrix}x+2y=\frac{-11}{9}\\-3x+4y=\frac{-23}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{18},\frac{-3}{4})\}\)
  2. \(\left\{\begin{matrix}-x+y=\frac{-12}{5}\\-3x=-3y+\frac{-36}{5}\end{matrix}\right.\qquad V=\{(6,\frac{18}{5})\}\)
  3. \(\left\{\begin{matrix}6x-6y=\frac{-375}{7}\\x-6y=\frac{-360}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{17}{2})\}\)
  4. \(\left\{\begin{matrix}-x-2y=\frac{-1}{10}\\2x=4y+\frac{-21}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{11}{20})\}\)
  5. \(\left\{\begin{matrix}x+3y=\frac{49}{57}\\-2x+6y=\frac{-22}{57}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{1}{9})\}\)
  6. \(\left\{\begin{matrix}5y=\frac{457}{70}+6x\\x-y=\frac{-221}{210}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{-3}{14})\}\)
  7. \(\left\{\begin{matrix}-5x+6y=\frac{573}{119}\\-5x=-y+\frac{891}{238}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{3}{14})\}\)
  8. \(\left\{\begin{matrix}-5y=\frac{-613}{13}+2x\\-x+4y=\frac{454}{13}\end{matrix}\right.\qquad V=\{(\frac{14}{13},9)\}\)
  9. \(\left\{\begin{matrix}-3x+4y=\frac{53}{34}\\5x+y=\frac{-449}{102}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-4}{17})\}\)
  10. \(\left\{\begin{matrix}3x-5y=\frac{-5}{6}\\-x+y=\frac{37}{90}\end{matrix}\right.\qquad V=\{(\frac{-11}{18},\frac{-1}{5})\}\)
  11. \(\left\{\begin{matrix}-6x+y=\frac{131}{9}\\6x-5y=\frac{-115}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-4}{9})\}\)
  12. \(\left\{\begin{matrix}-2x+5y=\frac{310}{39}\\-x-2y=\frac{344}{39}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},\frac{-14}{13})\}\)
Oefeningengenerator wiskundeoefeningen.be 2026-06-04 17:32:54
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