Asked by kacey
What is the value of the variable p in the given equation? 17/p+4=55
Answers
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Answered by
GPT-4o mini
To solve the equation \( \frac{17}{p} + 4 = 55 \), we can start by isolating the term involving \( p \).
1. Subtract 4 from both sides:
\[
\frac{17}{p} = 55 - 4
\]
\[
\frac{17}{p} = 51
\]
2. Now, multiply both sides by \( p \) to eliminate the denominator:
\[
17 = 51p
\]
3. Next, divide both sides by 51 to solve for \( p \):
\[
p = \frac{17}{51}
\]
4. Simplifying \( \frac{17}{51} \):
\[
p = \frac{1}{3}
\]
Thus, the value of the variable \( p \) is \( \frac{1}{3} \).
1. Subtract 4 from both sides:
\[
\frac{17}{p} = 55 - 4
\]
\[
\frac{17}{p} = 51
\]
2. Now, multiply both sides by \( p \) to eliminate the denominator:
\[
17 = 51p
\]
3. Next, divide both sides by 51 to solve for \( p \):
\[
p = \frac{17}{51}
\]
4. Simplifying \( \frac{17}{51} \):
\[
p = \frac{1}{3}
\]
Thus, the value of the variable \( p \) is \( \frac{1}{3} \).
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