Question

Solve graphically the simultaneous equations given below. Take the scale as 2 cm = 1 unit on both the axes.
x - 2y - 4 = 0
2x + y = 3

Answer 1

x - 2y - 4 = 0
⇒ x = 2y + 4
The table for x - 2y - 4 = 0 is

X	4	6	2
Y	0	1	- 1

Also we have
2x + y = 3
⇒ 2x = 3 - y
⇒ x = `(3 - y)/(2)`
The table for 2x + y = 3 is

X	1	0	2
Y	1	3	- 1

Plotting the above points we get the following required graph:

From the above graph, it is dear that the two lines x - 2y - 4 = 0 and 2x + y = 3 intersect at the point (2, -1)