CBSE Class 10-Mathematics: Chapter –3 Pair of Linear Equation in Two Variables Part 15

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Question 5:

Solve and and hence find the value of for which .

Answer:

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?

Answer:

(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