Question
$$-\frac{5}{9} = \frac{16}{x}$$
Answer
$$ x = -\dfrac{144}{5} $$
Explanation
$$ \begin{aligned} -\frac{5}{9} &= \frac{16}{x}&& \text{multiply ALL terms by } \color{blue}{ 9x }. \\[1 em]-9x\cdot\frac{5}{9} &= 9x\cdot\frac{16}{x}&& \text{cancel out the denominators} \\[1 em]-5x &= 144&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= -\frac{144}{5}&& \\[1 em] \end{aligned} $$
This page was created using
Equations Solver