Question

For what value of k, the pair of linear equations 3x+y=3 and 6x+ky=8 does
not have a solution.​

Answer 1

condition for doesn't have solution:

coeffi. of x of 1st equation coeffi. of y of 1st => ------------------------------------- ≠ -------------------------

coeffi. of x of 2nd equation coeff. of y of 2nd

constant term of 1st

≠ ------------------------------

constant term of 2nd

3 1 3

=> ---- ≠ ---- ≠ ------

6 k 8

=> 1/2 ≠ 1/k≠3/8

=> k ≠ 2 and 8/3