Question

If the equations kx – 2y = 3 and 3x + y = 5 represent two intersecting lines at unique point, then the value of k is ______.

Answer 1

If the equations kx – 2y = 3 and 3x + y = 5 represent two intersecting lines at unique point, then the value of k is k ≠ – 6.

Explanation:

For unique solution

`a_1/a_2 ≠ b_1/b_2`

Here, a₁ = k, b₁ = –2 and a₂ = 3, b₂ = 1

∴ `k/3 ≠ - 2/1`

⇒ k ≠ – 6