Question

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

Answer 1

See a solution process below:

Explanation:

First, divde each side of the equation by `color(red)(-4)` to solve for `g` while keeping the equation balanced:

`8.2/color(red)(-4) = (-4g)/color(red)(-4)`

`-2.05 = (color(red)(cancel(color(black)(-4)))g)/cancel(color(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 = -4g` becomes:

`8.2 = -4 * -2.05`

`8.2 = 8.2`

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