Algebra problem solve for x

Question

1/x+1/y=1/z 

solve for x (indicated variable) 

Answer 1

1/x+1/y = 1/z

 

So, 1/x = 1/z - 1/y

 

     1/x = (y-z)/(yz)

 

Therefore, x = yz/(y-z)

Answer 2

1/x + 1/y = 1/z

 

1/x + 1/y - 1/z = 0

 

yz/xyz + xz/xyz - xy/xyz = 0

 

(yz + xz - xy)/xyz = 0

 

yz + xz - xy = 0,  where x≠0, y≠0, z≠0

 

Note:  none of the variables may equal zero

because that would require dividing by zero

which is undefined.