How many solutions are there for the absolute value equation, |16 + t| = 2t – 3 ?

exactly 1

exactly 2

none

infinitely many

Top 4 Answers

A few days ago

SunnyInNC

Favorite Answer

A few days ago

wvucivilguy

if the question is written correctly where only the left side has the absolute value, then there is exactly 1 answer to the question (t=19).

If the absolute value had included the whole equation then there would be 2 answers

also, the user that said that -13/3 was an answer, that is incorrect. It yields 11.67 = -11.67, which is not correct

A few days ago

chasrmck

16+t = 2t-3

t=19

also

-(16+t)=2t-3

-16-t=2t-3

3t=-13

t= -13/3

Because absolute value only considers the magnitude of the distance from 0 and not the direction both directions need to be considered.

This one has 2 solutions.

A few days ago

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