Question

Taking scale 2 cm = 1 unit, draw the graph of the following and find the solution set.

x + 2y = 4

3x - 4 = 2y

Answer 1

Equation 1: x + 2y = 4

2y = −x + 4
y = `(−x + 4)/2`

Equation 2:

2y = 3x − 4

y = `(3x − 4)/2`

Table for equation 1:

y = `(−x + 4)/2`

x	Calculation	y	(x, y)
−2	y = `(−(−2) + 4)/2`	3	(−2, 3)
0	y = `(0 + 4)/2`	2	(0, 2)
2	y = `(−2 + 4)/2`	1	(2, 1)
4	y = `(−4 + 4)/2`	0	(4, 0)

Table for equation 2:

y = `(3x − 4)/2`

x	Calculation	y	(x, y)
0	y = `(0 − 4)/2`	−2	(0, −2)
2	y = `(6 − 4)/2`	1	(2, 1)
4	y = `(12 − 4)/2`	4	(4, 4)
6	y = `(18 − 4)/2`	7	(6, 7)

The two lines intersect at the point (2, 1).