Question

Solve the following pair of simultaneous equations graphically.

2x − y = 4

x − y = 1

Answer 1

Given:

2x − y = 4

x − y = 1

Step 1: Convert into y = mx + c

2x − y = 4      ...[Equation (i)]

y = 2x − 4

x − y = 1        ...[Equation (ii)]        

y = x − 1

Step 2: Make Table of Values

For y = 2x − 4

x	y = 2x − 4	(x, y)
0	− 4	(0, −4)
1	− 2	(1, −2)
2	0	(2, 0)
3	2	(3, 2)
4	4	(4, 4)

For y = x − 1

x	y = x − 1	(x, y)
0	−1	(0, −1)
1	0	(1, 0)
2	1	(2, 1)
3	2	(3, 2)
4	3	(4, 3)