confusing geometry problem. someone help me with the steps

dzelkas wrote:Can someone help me figure this out? I got confused on couple of steps..

x=(yz)/x+1/y
we are asked to find Z

here is the solution where i got confused

x-1/y=yz/x

x^2-x/y^2=z ( i got lost here. it looks like we multiplied by x to get rid of denominator but where did we get y^2 from?

x^2 y/y^2 - x/y^2=z ( again i got lost here)

z= x(xy-1)/y^2

can someone help me understand this little bit better. I would really appreciate it

thanks

danny

vsravan.2000 wrote:
Hi

x-1/y = yz/x...(1)

Multiply with x on both sides with x=> x(x-1/y) = (yz/x)*x
= x^2 - x/y = yz.

Now devide with y on both sides with y to get rid of y on the right hand side of (1)
(x^2-x/y) /y = yz/y.
(x^2/y - x/y*1/y) =z
x^2/y - x/(y^2) = z . this is the answer