Solve the following equations using graphical method:

Solution:

Given,

……. (i)

……. (ii)

From equation (i),

⇒

When a, we get b

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:

From given graph, the two lines intersect at a single Point P

Hence, and .