px+qy=p-q

qx-py=p+q

Asked by shavezshavez58 | 28th Jul, 2020, 01:51: PM

Expert Answer:

Given:
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

Answered by Renu Varma | 28th Jul, 2020, 07:46: PM