Question

px + qy =p - q
qx - py =p+q​

Answer 1

Step-by-step explanation:

px + qy = p - q ... (i)

qx - py = p + q ... (ii)

Multiplying (i) and (ii) by p and q respectively, we get

p2x + pqy = p2 - pq ... (iii)

q2x - pqy = pq + q2 ... (iv)

Adding (iii) and (iv), we get

(p2 + q2)x = p2 + q2

x = 1

Substituting the value of x in (i) we have

p + qy = p - q

qy = -q

y = -1