Question

solve the following:
xy/x+y = 4/5 and xy/y-x = 4/3

pls solve ASAP
first right answer will be brainliest!!!!!

Answer 1

XY/X+Y=4/5 => 5X=4(X+Y) =>5X=4X+4Y

XY/X-Y=4/3 =>3X=4(Y-X) =>3X=4Y-4X

5XY=4X+4Y -------(1)

3XY=-4X+4Y-------(2)

SOLVING EQUATION (1) &(2) WE GET:

8XY=8Y

X=8/8

X=1

PUTTING THE X VALUE ON EQUATION (1) WE GET

5XY=4X+4Y

5.1.Y=4.1+4Y

5Y=4+4Y

5Y-4Y=4

Y=4