### Home > PC3 > Chapter 9 > Lesson 9.1.4 > Problem9-87

9-87.

Solve for $y$ in terms of $x$ if $\frac { 1 } { x } - \frac { 3 } { y }=5$ .

Multiply each and every term by $xy$. Simplify.

Get all of the $y$-terms on one side of the equation and everything without a $y$ on the other side.

Factor out $y$.

Divide both sides by the expression $(1 − 5x)$.

$xy\frac{1}{x}-xy\frac{3}y=5xy$

$y-3x=5xy$

$y-5xy=3x$

$y(1-5x)=3x$

$\frac{3x}{1-5x}$