12 plus 2a in absolute value signs equals 3
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the numerical statement:
12 plus 2a in absolute value signs equals 3.
Solution:
The given numerical statement can be represented as,
|12 + 2a | = 3
The absolute value sign is represented by ||, which means that the absolute value of any number is equal to its positive value. Hence in our case, our values will still be the same since we have a positive number inside the absolute value sign.
To solve for a, we transpose 12 to the other side of the equation, note that in transposing a number, the sign changes.
12 + 2a = 3
2a = 3 - 12
2a = -9
Divide both sides b 2 in order to determine the value of a
2a/2 = -9/2
a = -9/2 or 4.5
Final answer:
a = -9/2 or 4.5