Question

Solve the following equations graphically :
x = 4

`(3x)/(3) - y = 5`

Answer 1

x = 4

`(3x)/(3) - y = 5`

x = 4 ________(1)

`(3x)/(3) - y = 5` _________(2)
The graph of equation (1) will be the line l₁ which is at a distance of 4 units from the y-axis. (4, 0)
From (2), x - y = 5
Corresponding values of x and y can be tabulated as :

x	4	0	5
y	-	-5	0

Plotting points (4, -1), (0, -5), (5, 0) and joining them, we get a line l₂ which is the graph of equation (2).

The two lines l₁ and 1₂ intersect at a unique point (4, -1). Thus, x = 4 and y = 1 -1 is the unique solution of the given equations.