How do you solve |2t-3|=37-2|2t3|=372?

1 Answer
Sep 14, 2017

t =19t=19 or -1616

Explanation:

|2t−3|=37−2|2t3|=372

|2t−3|=35|2t3|=35

| means Absolute Value. Therefore, we know that

2t−3=352t3=35 or 2t−3=−352t3=35

Possibility 1

2t−3=−352t3=35

2t−3color(red)+color(red)3=−35color(red)+color(red)32t3+3=35+3 We add three to each side of the equation.

Therefore, 2t=−322t=32

And t=-16t=16.

Possibility 2

2t−3=352t3=35

2t−3color(red)+color(red)3=35color(red)+color(red)32t3+3=35+3 Then, we add three to each side of the equation.

Therefore, 2t=382t=38 and 1t=38-:21t=38÷2
=19=19

So, tt can be 1919 or -1616.