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

1 Answer
Jun 20, 2017

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.