# How do you solve the equation (-8b-(-9))/(-10)=17?

Dec 17, 2016

$b = \frac{179}{8}$

#### Explanation:

To eliminate the fraction, multiply both sides of the equation by - 10

$\cancel{- 10} \times \frac{- 8 b + 9}{\cancel{- 10}} = \left(- 10 \times 17\right)$

$\Rightarrow - 8 b + 9 = - 170$

subtract 9 from both sides.

$- 8 b \cancel{+ 9} \cancel{- 9} = - 170 - 9$

$\Rightarrow - 8 b = - 179$

To solve for b, divide both sides by - 8

$\frac{\cancel{- 8} b}{\cancel{- 8}} = \frac{- 179}{- 8}$

$\Rightarrow b = \frac{179}{8} \text{ is the solution}$