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what is the solution to the equation? \\frac{p}{7}=\\frac{1}{2} \\boxed…

Question

what is the solution to the equation?
\frac{p}{7}=\frac{1}{2}
\boxed{p = \frac{2}{7}} \quad \boxed{p = \frac{1}{14}}
\boxed{p = \frac{7}{2}} \quad \boxed{p = 14}

Explanation:

Step1: Solve for \( p \) by multiplying both sides by 7

To isolate \( p \) in the equation \( \frac{p}{7} = \frac{1}{2} \), we multiply both sides of the equation by 7. This is based on the multiplication property of equality, which states that if we multiply both sides of an equation by the same non - zero number, the equality still holds.

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Answer:

\( p = \frac{7}{2} \) (or in the options, the one corresponding to \( p=\frac{7}{2} \))