For the given system of equation show graphically that equation has infinitely many solution:

Given,

……. (i)

……. (ii)

From equation (i),

⇒

When , we get

When , we get

Thus, we have the following table giving points on the line

a
b

From equation (ii),

Solve for b:

⇒

So, when

And, when

⇒

Thus, we have the following table giving points on the line

a
b

Graph of the equations (i) and (ii) is as below:

Thus, the from given graph of the two equations are coincident. Hence, the system of equations has infinitely many solutions.