For which value of k will the following pair of linear equations have no solution? 3x + y = 1 (2k – 1)x + (k – 1)y = 2k + 1

Question

For which value of k will the following pair of linear equations have no solution? 3x + y = 1 (2k &#x2013; 1)x + (k &#x2013; 1)y = 2k + 1

Philoid · Accepted Answer

(ii) 3x + y - 1 = 0

(2k - 1)x + (k - 1)y - 2k - 1 = 0

For no solution,

3k - 3 = 2k - 1

K = 2

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