## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$y=\dfrac{z^2}{t}$
Using the properties of equality, in terms of $y$, the given expression, $\dfrac{y}{z}\div\dfrac{z}{t}=1$, is equivalent to \begin{array}{l} \dfrac{y}{z}\cdot\dfrac{t}{z}=1 \\\\ \dfrac{yt}{z^2}=1 \\\\ \dfrac{z^2}{t}\cdot\dfrac{yt}{z^2}=1\cdot\dfrac{z^2}{t} \\\\ y=\dfrac{z^2}{t} .\end{array}