What is the logical first step in solving the equation |2x-1|=5?

Tiffany Russell

Tiffany Russell

Answered question

2021-12-16

What is the logical first step in solving the equation
|2x-1|=5?

Answer & Explanation

rodclassique4r

rodclassique4r

Beginner2021-12-17Added 37 answers

The given equation is, |2x-1|=5.
We use the absolute value to obtain two equations.
Thus, |2x-1|=5 is same as
2x-1=5 or 2x-1=-5
2x=6 or 2x=-4
x=3 or x=-2
sukljama2

sukljama2

Beginner2021-12-18Added 32 answers

Step 1
The given equation is |2x-1|=5.
Step 2
Rewrite the equation |2x-1|=5 without absolute bars.
2x-1=5 or 2x-1=-5
Add 1 to both sides of each equation.
2x=5+1 or 2x-1=-5+1
2x=6 or 2x=-4
x=3 or x=-2
Therefore, the solution set is {-2,3}.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?