# How do you solve y - 3= \frac{1}{4} ( x - 3)?

Aug 2, 2017

Assuming that we are trying to convert the given equation into a simple functional expression for $y$:
$\textcolor{w h i t e}{\text{XXX}} y = \frac{1}{4} \left(x + 9\right)$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} y - 3 = \frac{1}{4} \left(x - 3\right)$

then
$\textcolor{w h i t e}{\text{XXX}} y - \frac{12}{4} = \frac{1}{4} x - \frac{3}{4}$

$\textcolor{w h i t e}{\text{XXX}} y = \frac{1}{4} x - \frac{3}{4} + \frac{12}{4}$

$\textcolor{w h i t e}{\text{XXX}} y = \frac{1}{4} x + \frac{9}{4}$
or
$\textcolor{w h i t e}{\text{XXX}} y = \frac{1}{4} \left(x + 9\right)$