# How do you solve the equation  5 + c/9 = -31?

Apr 12, 2018

$c = - 324$

#### Explanation:

First, get all the variables on one side of the equation and everything else on the other side. In this case, you subtract 5 from both sides to get $\frac{c}{9} = - 36$.

Then solve for $c$ by multiplying both sides by 9 and get $c = - 324.$

Now to check your work, you can plug -324 in for $c$ and that will equal the right side, $- 31$:
$5 + \frac{- 324}{9} = - 31$

Apr 12, 2018

$c = - 324$

#### Explanation:

$5 + \frac{c}{9} = - 31 \text{ }$ Subtract 5 on both sides to get

$\frac{c}{9} = - 36 \text{ }$ Multiply by 9 on both sides to get

$c = - 324 \text{ }$

Check using substitution:
$5 + \frac{- 324}{9} = - 31 \text{ }$

$5 - 36 = - 31 \text{ }$

$- 31 = - 31 \text{ }$

Since we get a true statement, we know we have the correct solution!