Question

(i) For which values of a and b will 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 1

For infinitely many solutions,

Subtracting (1) from (2), we obtain

Substituting this in equation (2), we obtain

Hence, a = 5 and b = 1 are the values for which the given equations give infinitely many solutions.

For no solution,

Hence, for k = 2, the given equation has no solution.