Questions: Solve the proportion for the variable by cross-multiplying. -7/3 = 21/p

Solve the proportion for the variable by cross-multiplying. -7/3 = 21/p
Transcript text: Solve the proportion for the variable by cross-multiplying. \[ \frac{-7}{3}=\frac{21}{p} \]
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Solution

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Solve the proportion \(\frac{-7}{3} = \frac{21}{p}\) for the variable \(p\) by cross-multiplying.

Cross-multiply the proportion.

Multiply \(-7\) by \(p\) and \(3\) by \(21\):
\[ -7 \cdot p = 3 \cdot 21
\]

\(\boxed{-7p = 63}\)

Solve the equation \(-7p = 63\) for \(p\).

Isolate \(p\) by dividing both sides by \(-7\).

Divide both sides of the equation \(-7p = 63\) by \(-7\):
\[ p = \frac{63}{-7}
\]

\(\boxed{p = -9}\)

\(\boxed{-7p = 63}\)
\(\boxed{p = -9}\)

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