# How do you solve and check your solutions to 8.2=-4g?

Jun 20, 2017

See a solution process below:

#### Explanation:

First, divde each side of the equation by $\textcolor{red}{- 4}$ to solve for $g$ while keeping the equation balanced:

$\frac{8.2}{\textcolor{red}{- 4}} = \frac{- 4 g}{\textcolor{red}{- 4}}$

$- 2.05 = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 4}}} g}{\cancel{\textcolor{red}{- 4}}}$

$- 2.05 = g$

$g = - 2.05$

To check the solution substitute $- 2.05$ for $g$ in the original equation and calculate each side of the equation to ensure they are equal:

$8.2 = - 4 g$ becomes:

$8.2 = - 4 \cdot - 2.05$

$8.2 = 8.2$

Because both sides of the equation are equal the solution is validated.