### Home > AC > Chapter 5 > Lesson 5.1.5 > Problem5-51

5-51.

Solve each of the following equations for the indicated variable. Show all of your steps.

1. $y=2x−5 \text { for }x$

Isolate the variable $x$ on one side.

$y=2x−5$
$+5\ \ \ \ \ \ +5$
$y+5=2x$

Solve for $x$.

$\frac{y+5}{2}=x$

1. $p=−3w+9 \text { for }w$

Follow the steps in part (a).

1. $2m−6=4n+4 \text { for }m$

Follow the steps in part (a).

$m=2n+5$

1. $3x−y=−2y \text { for }y$

Add the variable $y$ to both sides.
You are left with $−y=3x$.
Multiply to isolate a positive $y$.

$y=−3x$