Answer
$z=\dfrac{x}{4y}$
Work Step by Step
Using the properties of equality, in terms of $
z
$, the given equation, $
\dfrac{1}{2}x=2yz
$, is equivalent to
\begin{array}{l}\require{cancel}
x=2(2yz)
\\\\
x=4yz
\\\\
\dfrac{x}{4y}=z
\\\\
z=\dfrac{x}{4y}
.\end{array}
