Question

The existence of unique solution of the system of equations x + y = λ and 5x + ky = 2 depends on:

Options

• λ only

• `λ/k = 1`

• both k and λ

• k only

Answer 1

k only

Explanation:

System of equations are x + y = λ and 5x + ky = 2 for unique solution.

|A| ≠ 0

Here, `A = [(1, 1),(5, k)]`

⇒ |A| = k – 5 ≠ 0

k ≠ 5

Depends on k only.