Find the value of

Given, pair of equations

4x + py + 8 = 0

and 2x + 2y + 2 = 0

On comparing the given equation with standard form i.e. a₁ x + b₁y + c₁ = 0 and a₂ x + b₂y + c₂ = 0, we get

a₁ = 4, b₁ = p and c₁ = 8

and a_{2 =} 2, b₂ = 2 and c₂ = 2

For unique solutions,

Here,

∴

On taking I and II terms, we get

⇒ p≠4

Thus, given lines have a unique solution for all real values of p, except 4.