Find the eq

We know that, the equation of a plane through the line of intersection of the plane

and

is given by

So, equation of plane passing through the line of intersection of plane and is given by

…… (1)

Given that plane (1) is passing through so

(2)(2 + 2k) + (1)(1 + 5k) + (3)(3 + 3k) – 7 – 9k = 0

4 + 4k + 1 + 5k + 9 + 9k – 7 – 9k = 0

9k = – 7

Put the value of k in equation (1),

Multiplying by (), we get

Equation of required plane is ,