What is the value of the variable p in the given equation? 17/p+4=55

Answer 1

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 \( \frac{1}{3} \).