Question 460138
We can write the left side as one fraction:


*[tex \LARGE \frac{1}{x} + \frac{1}{y} = \frac{y + x}{xy} = \frac{x+y}{xy}]


This is equal to 1/2z, so


*[tex \LARGE \frac{x+y}{xy} = \frac{1}{2z}]


Cross multiply:


*[tex \LARGE 2z(x+y) = xy]


Divide both sides by 2(x+y) and we get our final result


*[tex \LARGE z = \frac{xy}{2(x+y)}].