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If 15x + 16 = 0, then 15|x| equals which...

If `15x + 16 = 0`, then 15|x| equals which one of the following?

A

15

B

`-16x`

C

`15x`

D

16

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 15x + 16 = 0 \) and find \( 15|x| \), we can follow these steps: ### Step 1: Solve for \( x \) Start with the equation: \[ 15x + 16 = 0 \] Subtract 16 from both sides: \[ 15x = -16 \] Now, divide both sides by 15: \[ x = -\frac{16}{15} \] ### Step 2: Find \( |x| \) Now, we need to find the absolute value of \( x \): \[ |x| = \left| -\frac{16}{15} \right| = \frac{16}{15} \] ### Step 3: Calculate \( 15|x| \) Now, we multiply \( |x| \) by 15: \[ 15|x| = 15 \times \frac{16}{15} \] The 15 in the numerator and denominator cancels out: \[ 15|x| = 16 \] ### Conclusion Thus, the value of \( 15|x| \) is \( 16 \). ### Final Answer The correct answer is \( 16 \). ---
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