# Question b4606

Sep 23, 2015

$y = - \frac{3}{5} x + \frac{9}{5}$

#### Explanation:

First of all, I'm not sure why you posted this question in chemistry.
Anyway, firstly you subtract $3 x$ from both sides

$\cancel{\textcolor{red}{- 3 x}} + \cancel{3 x} + 5 y = 9 \textcolor{red}{- 3 x}$

to get

$5 y = 9 - 3 x$

Then you divide both sides by $5$

$\cancel{5} \frac{y}{\cancel{\textcolor{red}{5}}} = \frac{9 - 3 x}{\textcolor{red}{5}}$

to get

$y = \frac{9 - 3 x}{5}$

Distribute the $5$ to each term

y= 9/(color(red)(5))-(3x)/(color(red)(5)#

Rearrange (not necessary) to obtain the answer:

$y = - \frac{3}{5} x + \frac{9}{5}$