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

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Answer 1 · 2017-06-20T14:41:36

See a solution process below:

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.