Question

x/p+y/q=2, x+y=p+q are satisfied by the values given by the pair.

Answer 1

Hi ,

According to the given question,

i ) x + y = p + q

x = p + q - y ---------( 1 )

ii ) x / p + y / q = 2

Multiply each term with pq we get

qx + py = 2pq ---------( 2 )

Put x value , from ( 1 ) in equation ( 2)

q( p + q - y) + py = 2pq

pq + q^2 - qy + py = 2pq

- qy + py = 2pq - pq - q^2

y ( - q + p) = pq - q^2

y ( p - q ) = q ( p - q )

y = q ( p - q )/ ( p - q )

y = q -----( 3 )

Put y = q in ( 1 )

x = p + q - q

x = p

Therefore ,

x = p and y = q

I hope this helps you.

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Answer 2

A.T.Q.

i ) x + y = p + q

x = p + q - y ---------( 1 )

ii ) x / p + y / q = 2

Multiply each term with pq we get

qx + py = 2pq ---------( 2 )

Put x value , from ( 1 ) in equation ( 2)

q( p + q - y) + py = 2pq

pq + q^2 - qy + py = 2pq

- qy + py = 2pq - pq - q^2

y ( - q + p) = pq - q^2

y ( p - q ) = q ( p - q )

y = q ( p - q )/ ( p - q )

y = q -----( 3 )

Put y = q in ( 1 )

x = p + q - q

x = p and y = q

Hope it helps you please follow me