Question
b. Is \( x=4 \) a solution to the equation, \( x \) divided by 8 is 2 ? show your work or explain how yous know.
Ask by Byrd Lane. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = 4 \) is not a solution to the equation \( \frac{x}{8} = 2 \) because \( \frac{4}{8} = 0.5 \), which is not equal to 2.
Solution
To check if x = 4 is a solution to the equation x/8 = 2, substitute 4 in for x:
4/8 = 0.5
Since 0.5 is not equal to 2, x = 4 is not a solution to the equation.
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Simplify this solution Beyond the Answer
To determine if \( x = 4 \) is a solution to the equation " \( x \) divided by 8 is 2," we can substitute \( x \) with 4 and see if the equation holds true. When we substitute, we have: \[ \frac{4}{8} = 0.5 \] Since \( 0.5 \) is not equal to 2, we can conclude that \( x = 4 \) is not a solution to the equation. Now, let's take a closer look at the equation itself. To find the correct value for \( x \), we can set up the equation from the statement: \[ \frac{x}{8} = 2 \] Multiplying both sides by 8 gives us: \[ x = 16 \] Hence, the solution is \( x = 16 \), which is the number we need to divide by 8 to achieve 2.
