Given: 2x + 3y - 5 = 0 – eq 1

kx - 6y - 8 = 0 – eq 2

Here,

a₁ = 2, b₁ = 3, c₁ = - 5

a₂ = k, b₂ = - 6, c₂ = - 8

Given systems of equations has a unique solution

∴ ≠

2≠

k ≠ 2× 2 = - 4

∴ k ≠ - 4