Let 3x + 5 = λ(7x + 9) + μ
3x + 5 = 7xλ + 9λ + μ
comparing coefficients, we get
7λ = 3 ; 9λ + μ = 1
⇒
Replacing 3x + 5 by λ(7x + 9) + μ in the given equation we get