solve : xy/x+y =2/3 and xy/y-x=2
Answers
Answered by
2
Answer:
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
Therefore, x=1 and y=2
Similar questions