Show graphically that each one of the following systems of equations is in-consistent (i.e. has no solution):

Given,

……. (i)

……. (ii)

From equation (i),

⇒

When , we have

When , we have

a
b

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

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 given below:

From graph, there is no common point between these two lines.

Hence, the given systems of equations are in-consistent.