Question

solar system of equation sin x 5 x square + x y equal to p square + PQ, y square + xy equal to p square minus p q where p and q are real numbers such that P is not equal to zero​

Answer 1

Hello!!

Here is your answer

Given

$5x ^{2} + xy = p ^{2} + pq$

$y ^{2} + xy = p ^{2} - pq$

add 1 and 2

$5x ^{2} + y ^{2} + 2xy = 2p ^{2} + pq - pq$

$4x ^{2} + x ^{2} + y ^{2} + 2xy = 2p {}^{2} + 0$

$4x ^{2} + (x + y) ^{2} = 2p ^{2}$

$(2x) ^{2} + (x + y) ^{2} = 2p ^{2}$