Given: 5x - 7y - 5 = 0 – eq 1

2x + ky - 1 = 0 – eq 2

Here,

a₁ = 5, b₁ = - 7, c₁ = - 5

a₂ = 2, b₂ = k, c₂ = - 1

Given systems of equations has a unique solution

∴ ≠

≠

5k ≠ _{( - 7)× 2}

5k ≠₁₄

k ≠

∴