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

$z=-\dfrac{5}{9}$
Multiplying both sides by $-5$, then the solution to the given equation, $\dfrac{1}{9}=\dfrac{z}{-5}$, is \begin{array}{l}\require{cancel} -5\cdot\dfrac{1}{9}=\dfrac{z}{-5}\cdot(-5) \\\\ -\dfrac{5}{9}=\dfrac{-5z}{-5} \\\\ -\dfrac{5}{9}=z \\\\ z=-\dfrac{5}{9} .\end{array}