# Chapter 1-2 - Cumulative Review - Page 152: 16

$z=\dfrac{x}{4y}$

#### 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}

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