Question

(xy)/x+y = 2/3 ; (xy)/y-x = 2/1
find x and y​

Answer 1

Answer:

We will first simplify the equation

xy/x+y=2/3

3xy=2(x+y)

3xy=2x+2y

3x=2x+2y/y

3x=2x/y+2

3x-2x/y=2

3xy-2x/y-2=0

3xy-2x-2y=0

3xy-2y=2x

x(3y-2y)=2x

y=2

In the second case

xy/y-x=2

2x/2-x=2

2x=2(2-x)

2x=4-2x

4x=4

x=1

From the above solution x is 1 and y is 2

Hope this helps you friend