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
4x²  2y = 14
 Level 2 :
2x  3y = 7
2x²  3xy + y² = 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
