# CBSE Class 10-Mathematics: Chapter – 3 Pair of Linear Equation in Two Variables Part 15 (For CBSE, ICSE, IAS, NET, NRA 2022)

Get top class preparation for CBSE right from your home: fully solved questions with step-by-step explanation- practice your way to success.

Question 5:

Solve and and hence find the value of for which .

Using equation (2) , we can say that

Putting this in equation (1) , we get

Putting value of y in equation (1) , we get

Therefore, and

Putting values of and y in , we get

Question 6:

(i) For which values of a and b does the following pair of linear equations have an infinite number of solutions?

(ii) For which value of k will the following pair of linear equations have no solution?

(i) Comparing equation with and

with

We get and and

Linear equations have infinite many solutions if

and

and

Putting (1) in (2) , we get

Putting value of in , we get

Therefore, and

(ii) Comparing with and with ,

We get and , and

Linear equations have no solution if