SOLUTION: Please help me solve for x for this equation: {{{ (1/x)=(1/y)+(1/z) }}}.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solve for x for this equation: {{{ (1/x)=(1/y)+(1/z) }}}.       Log On


   

Question 68826: Please help me solve for x for this equation: +%281%2Fx%29=%281%2Fy%29%2B%281%2Fz%29+.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x for this equation:
%281%2Fx%29=%281%2Fy%29%2B%281%2Fz%29
:
Put the right side over a common denominator:
%281%2Fx%29+=+%28%28z+%2B+y%29%2Fyz%29
:
Cross multiply:
x(z + y) = yz
:
Divide both sides by (z+y) and you have:
x = %28%28yz%29%2F%28z%2By%29%29