How do you solve #|2t-3|=37-2#?

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Answer 1 · 2017-09-14T11:57:16

#t =19# or #-16#

#|2t−3|=37−2#

#|2t−3|=35#

#|# means Absolute Value. Therefore, we know that

#2t−3=35# or #2t−3=−35#

Possibility 1

#2t−3=−35#

#2t−3color(red)+color(red)3=−35color(red)+color(red)3# We add three to each side of the equation.

Therefore, #2t=−32#

And #t=-16#.

Possibility 2

#2t−3=35#

#2t−3color(red)+color(red)3=35color(red)+color(red)3# Then, we add three to each side of the equation.

Therefore, #2t=38# and #1t=38-:2#
#=19#

So, #t# can be #19# or #-16#.