Solvepx + qy = p - qqx - py = p + q

1.	Solvepx + qy = p - qqx - py = p + q
Answer» According to the question we have Px+qy=p-q ---------(1) qx-py=p+q ---------(2) Multiplying (1) with p and (2) with q we get, p²x+pqy=p²-pq -----------(3) q²x-pqy=pq+q² -----------(4) Adding (3) with (4) we get, p²x+q²x=p²+q² or, x(p²+q²)=p²+q² or, x=1 Putting in (1) we get, p.1+qy=p-q or, qy=p-q-p or, qy=-q or, y= -1 ∴, x=1 and y= -1

Answer»

According to the question we have

Px+qy=p-q ---------(1)
qx-py=p+q ---------(2)
Multiplying (1) with p and (2) with q we get,
p²x+pqy=p²-pq -----------(3)
q²x-pqy=pq+q² -----------(4)
Adding (3) with (4) we get,
p²x+q²x=p²+q²
or, x(p²+q²)=p²+q²
or, x=1
Putting in (1) we get,
p.1+qy=p-q
or, qy=p-q-p
or, qy=-q
or, y= -1
∴, x=1 and y= -1

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Solvepx + qy = p - qqx - py = p + q

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