Simultaneous Equations - Elimination Method
Name :
Class :
Date :
Mark :
1) Use substitution to solve the following simultaneous equations
/8
%
[2]
a)
4x +
y =
y =
3x + 7
14
6x +
y =
5y =
x+4
53
b)
2) Use elimination to solve the following simultaneous equations
a)
x + 3y
−x + 4y
=
=
37
33
b)
9x + y =
5x + y =
38
22
c)
−3x + y =
−7x + 4y =
−9
−6
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[4]
d)
6x − 9y
3x + 6y
= 72
= 15
3) Solve the simultaneous equations y = 2x + 4 and y = x + 1 using the graph below.
[1]
4) Solve the simultaneous equations y = 2x + 2 and y = −x + 5 using the grid below.
[1]
Copyright Mathster.com 2016. Licensed to Thornleigh Salesian College, Bolton
Solutions for the assessment Simultaneous Equations - Elimination Method
1) a) x = 1 and y = 10
b) x = 3 and y = 7
2) a) x = 7 and y = 10
b) x = 4 and y = 2
c) x = 6 and y = 9
d) x = 9 and y = −2
3) The solution is (-3, -2)
4) Dot location is (1, 4)
Copyright Mathster.com 2016. Licensed to Thornleigh Salesian College, Bolton