Answer :

p (x + y) = q (x – y) = 2pq


px + py = 2pq … (1)


qx – qy = 2pq … (2)


Expressing x of equation (1) in terms of y,


px + py = 2pq


px = 2pq – py



x = 2q – y … (3)


Substituting (3) in (2),


q (2q – y) – qy = 2pq


q (2q – y – y) = 2pq


2q – 2y = 2p


2 (q – y) = 2p


q – y = p


y = p – q


Substituting y value in (3),


x = 2q – y


x = 2q – (p – q)


x = 3q – p


By solving, we get x = 3q – p and y = p – q.


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