Answer: a=4 or a= −3, so you can use anyone of the answers.
Step-by-step explanation:
Solve Absolute Value.
|2a−1|=7
We know either 2a−1= 7or 2a−1 = −7
2a−1=7(Possibility 1)
2a−1+1=7+1(Add 1 to both sides)
2a=8
[tex]\frac{2a}{2} = \frac{8}{2}[/tex] (Divide both sides by 2)
a=4
OR,
2a−1=−7 (Possibility 2)
2a−1+1= −7+1 (Add 1 to both sides)
2a= −6
[tex]\frac{2a}{2} =\frac{-6}{2}[/tex] (Divide both sides by 2)
a= −3
Therefor the answers are a=4 or a= −3
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