Question

The value of k ∈ R, for which the following system of linear equations

3x – y + 4z = 3,

x + 2y – 3z = – 2,

6x + 5y + kz = – 3,

has infinitely many solutions, is :

(1) 3

(2) – 5

(3) 5

(4) –3

Answer 1

Answer is: (2) – 5

⇒ 7K + 35 = 0

⇒ K = –5