Question

hi, I'm having some trouble figuring this problem. solve for y.
Z= (XY)/(X+Y)

Answer 1

z(x+y)=xy
zx+zy-xy=0
zx+y(z-x)=0
y(z-x)=-zx
y=(-zx)/(z-x)
finally
y=(zx)/(x-z)

Dont hesitate to ask any question, please.

Answer 2

oh, it's supposed to be solve for x, i'm sorry.

Answer 3

change x by y and y by x in the last expression. Is that what you want? Sorry if I dont understand the question (my english is not my mother language) and im just trying to help

Answer 4

i appreciate your help so much, thank you. I want to solve for x, the zx+y(z-x)=0 is where i get confused on where to go from there to solve for x.

Answer 5

Ok here I go again .....

There is an infinity of solutions. That is why you cannot list them all. Insted, you have to list x that are not solutions. So the only value of x that is not a solution for the above equation is:

X!=y => that is x not equal to zero.

Answer 6

CORRECTION

There is an infinity of solutions. That is why you cannot list them all. Insted, you have to list x that are not solutions. So the only value of x that is not a solution for the above equation is:

X!=y => that is x not equal to Y.

Answer 7

Z(X+Y)=XY
ZX+ZY=XY
ZX-XY=-ZY
X(Z-Y)=-ZY
X=(-ZY)/(Z-Y)
X=(ZY)/(Y-Z)

That said, you cannot solve this equation explicitly because you have more variables than equations.

Answer 8

thank you, you both have been very helpful.