Mathematical Topics:


Equations 4

Subject 1: Solving a quadratic system. The graphic interpretation.

  • Solve systems such as the following by the substitution method:
  • Level 1 :
    -3x - y = 5
    4x - 2y = 14
  • Level 2 :
    2x - 3y = -7
    -2x - 3xy + y = -1

Subject 2: Investigating a linear equation with a parameter.

  • In the following equations, x is the unknown, m is a parameter:
  • Level 1 : Write the equation of the family 2mx - 1 = x + m when m = 4
  • Level 2 : Find the value of m given that x = 2/3 is solution of the equation 2m - x = x + m
  • Level 3 : Solve the equation 2mx - 1 = m + x
  • Level 4 : Express t in terms of the other variables in v = at + 3

Subject 3: Solving a linear system with a parameter.

  • For which value of m, the system has no unique solution?
    Use either the addition method or the substitution method and solve the system
  • Level 1 :
    -3mx + 5y = 3
    5x + 2y = -7
  • Level 2 :
    4x + 5y = 3m
    (2m - 1)x + 2y = -7



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