Question

Solve the following simultaneous equations using Graphical method :
(iv) x + 2y = 5 ; y = $-$2x $-$2

Answer 1

Table for the equation x + 2y = 5:

x	0	5
y	2.5	0

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

x	0	$-$1
y	$-$2	0

The graphs of these two equations are drawn as follows:



The graphs of the equations x + 2y = 5 and y = $-$2x $-$ 2 intersect each other at ($-$3, 4).
∴ x = $-$3 and y = 4