Equations 3
Subject 1: The equation ax + by = c, the solution as a
pair, the solution set, the graph of a linear equation.
 Level 1 : Is the pair (2, 5) a solution of the
equation 2x  3y =  6 ?
 Level 2 : Find y such that the pair (3/4, y) is
a solution of 2x + y = 4
 Level 3 : Express y in terms of x in the equation
x  7y = 5
Subject 2: Solving a system of two linear equations
graphically
 Level 1 : Solve, by the graphic method, a system
such as:
3x + 3y = 5
4x  2y = 7
Subject 3: The substitution and the addition methods.
 Solve the system by an algebraic method (addition
or substitution)
 Level 1 :
x + 3y = 5
4x  2y = 7
 Level 2 :
2(x + 3y)  3(x  5) = 5y + 1
4x  21 + y  2 = 7(3x  7y)
 Level 3 :
(2x  3)/4 = (x + 5y)/7
4x  2y = 1
Subject 4: Special systems with no solution or
dependent equations, investigating a system with a
parameter.
 Level 1 : Finding the number of solutions of a
system
 Level 2 : For which value of m the following
system does not have a unique solution :
(4  m)x + 2y = 4
(4m + 2)x  y = 10
