# How do you know whether the given value is a solution of the equation: 4x-9(6-5w)=44, w=3?

Nov 14, 2016

$- 81 = 44$ is not true therefore $w = 3$ is not a solution to this equation.

#### Explanation:

Substitute $3$ for every occurrence of $w$ and determine if each side of the equation is equal:

$9 \left(6 - \left(5 \cdot 3\right)\right) = 44$

$9 \left(6 - 15\right) = 44$

$9 \left(- 9\right) = 44$

$- 81 = 44$