On comparing the ratios and , find out whether the following pair of linear equations are consistent, or inconsistent.

**(i)**

Comparing equation with

and with , we get

and

and

which means equations have unique solution.

**Hence they are consistent. **

**(ii)**

Comparing equation with

and with , we get

and

We have because

Therefore, equations have no solution because they are parallel.

**Hence, they are inconsistent.**

**(iii) **

Comparing equation with

and with , we get

and

We have

So,

**Therefore, equations have unique solution. Hence, they are consistent**

**(iv) **

Comparing equation with

and with , we get

and

and

We have

**The lines have infinite many solutions. Hence, they are consistent.**

**(v) **

Comparing equation with

and with , we get

and

and

We have .

**Therefore, lines have infinite many solutions. It means that they are consistent **