Answer
$x=-0.96$
Work Step by Step
To find $x$ when $y=2/5$, set up a proportion using two forms of $\frac{y}{x}$
$\dfrac{-\frac{5}{8}}{\frac{3}{2}}=\dfrac{\frac{2}{5}}{x}$
Now write the cross products
$(-\frac{5}{8})x=(\frac{3}{2})(\frac{2}{5})$
Simplify
$(-\frac{5}{8})x=\frac{6}{10}
\\(-\frac{5}{8})x=\frac{3}{5}$
Divide each side by $-\frac{5}{8}$
$\dfrac{(-\frac{5}{8})x}{-\frac{5}{8}}=\dfrac{\frac{3}{5}}{-\frac{5}{8}}
\\x=\frac{3}{5} \cdot \frac{-8}{5}
\\x=-\frac{24}{25}=-0.96$
