Question

Solve the following simultaneous equations using Graphical method :
(ii) 3 x + 4y +5= 0 ; y = x + 4

Answer 1

Table for the equation 3x + 4y + 5 = 0:

x	$-$3	0
y	1	$-$1.25

Table for the equation y = x + 4:

x	0	$-$4
y	4	0

The graphs of these two equations are drawn as follows:



The graphs of the equations 3x + 4y + 5 = 0 and y = x + 4 intersect each other at ($-$3, 1).
∴ x = $-$3 and y = 1