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

Answer 1

Eva Adamson

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#

The solution is verified because there is equality on both sides of the equation.

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Answer 2

Nathan Axel

Solution: ( g = -2.05 ) Check: ( 8.2 = -4(-2.05) )

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.