# How do you determine if (-5, -4) is a solution of 9x - 4y = -6?

Jul 3, 2015

Substitute $- 5$ for $x$ and $- 4$ for $y$. Solve the equation. If both sides are equal, then $\left(- 5 , - 4\right)$ is a solution for $9 x - 4 y = - 6$. If the two sides are not equal, then $\left(- 5 , - 4\right)$ is not a solution.

#### Explanation:

$9 x - 4 y = - 6$

$9 \left(- 5\right) - 4 \left(- 4\right) = - 6$

$- 45 + 16 = - 6$

$- 29 \ne - 6$

$\left(- 5 , - 4\right)$ is not a solution of $9 x - 4 y = - 6$