Respuesta :
Answer:
x=16;x=12
Step-by-step explanation:
Lets say the number is x.
Equation |1/2x-7|=1
so we could have 2 outcomes.
if the equation is actually equal to 1.
1/2x-7=1
+7 +7
1/2x=8
*2 *2
x=16
The second outcome is if the equation is equal to -1.
1/2x-7=-1
1/2x=6
x=12
So both of these answers are the answers trying inputting it in like I did in the answer.
16 and 12
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Let the unknown number be x.
The problem states that subtracting 7 from half of x (which is x/2) and taking the absolute value results in 1. We can express this as:
- |(x/2) - 7| = 1
We should consider both the positive and negative scenarios since we are dealing with absolute value. This means we need to solve two separate equations:
- (x/2) - 7 = 1
- (x/2) - 7 = -1
For the first equation
Add 7 to both sides:
- x/2 = 8
Multiply both sides by 2:
- x = 16
For the second equation
Add 7 to both sides:
- x/2 = 6
Multiply both sides by 2:
- x = 12
Therefore, the two possible values for the number are 16 and 12.