Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it by using cross multiplication method.

**(i)**

**Solution:**

Comparing equation with and with , we get

and

and

We have which means that the two lines are parallel.

**Therefore, there is no solution for the given equations.**

**(ii) **

Comparing equation with and with , we get

and

and

We have which means that there is unique solution for the given equations.

and

and

**(iii)**

Comparing with and with , we get

and

and

We have,

It means lines coincide with each other. Hence, there are infinite many solutions.

**(iv) **

Comparing with and with we get,

and

and

We have which means that we have unique solution for these equations.

and

and