Solve absolute value equation or indicate the equation has no

veksetz

veksetz

Answered question

2021-12-13

Solve absolute value equation or indicate the equation has no solution.
3|2x-1|=21

Answer & Explanation

Gerald Lopez

Gerald Lopez

Beginner2021-12-14Added 29 answers

Step 1
Given
3|2x-1|=21
Step 2
Divide both sides by 3
3|2x1|3=213
|2x-1|=7
Apply absolute rule. If |u|=a, a>0, then u=a or u=-a
2x-1=7 or 2x-1=-7
2x=8 or 2x=-6
x=4 or x=-3
Combine solutions
x=-3 or x=4

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