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

1 Answer
Sep 14, 2017

t =19 or -16

Explanation:

|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.