CPM Homework Help : PC3 Problem 9-87

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

Step 1:

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

Step 2:

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

Step 3:

Factor out $y$ .

Step 4:

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

Answer 1:

Answer 2:

Answer 3:

Answer 4:

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

$y-3x=5xy$

$y-5xy=3x$

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

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