How do you evaluate #-7| t | = - 21#?

1 Answer
smendyka
Sep 17, 2017

See a solution process below:

Explanation:

First, divide each side of the equation by #color(red)(-7)# to isolate the absolute value function while keeping the equation balanced:

#(-7abs(t))/color(red)(-7) = (-21)/color(red)(-7)#

#(color(red)(cancel(color(black)(-7)))abs(t))/cancel(color(red)(-7)) = 3#

#abs(t) = 3#

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

Solution 1:

#t = -3#

Solution 2:

#t = 3#

The Solutions Are: #t = -3# and #t = 3#

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