Question

Solve the following simultaneous equations using Graphical method :
(i) x + y = 8 ; x $-$ y = 2

Answer 1

Table for the equation x + y = 8:

x	0	8
y	8	0

Table for the equation x $-$ y = 2:

x	2	0
y	0	$-$2

The graphs of these two equations are drawn as follows:



The graphs of the equations x + y = 8 and x $-$ y = 2 intersect each other at (5, 3).
∴ x = 5 and y = 3