# How do you solve for y in  5x+6y=90?

Sep 17, 2015

$y = - \frac{5}{6} x + 15$

#### Explanation:

$5 x + 6 y = 90$

Subtract $5 x$ from both sides of the equation.

$6 y = 90 - 5 x$

Divide both sides by $6$.

$y = \frac{90}{6} - \frac{5}{6} x$

Simplify $\frac{90}{6}$ to $15$.

$y = 15 - \frac{5}{6} x$

Rearrange terms on right side.

$y = - \frac{5}{6} x + 15$

This the slope-intercept form of a linear equation $y = m x + b$, where $m$ is the slope $- \frac{5}{6}$ and $b$ is the y-intercept $15$.