Question

what value of p is a solution to this equation?
$\frac{p}{2} - 15 = -10$
$p = -12$ $p = 10$

Explanation:

Step1: Solve the equation for \( p \)

Start with the equation \( \frac{p}{2}-15 = -10 \). First, add 15 to both sides of the equation.
\( \frac{p}{2}-15 + 15=-10 + 15 \)
Simplifying both sides, we get \( \frac{p}{2}=5 \).

Step2: Isolate \( p \)

Multiply both sides of the equation \( \frac{p}{2}=5 \) by 2 to solve for \( p \).
\( \frac{p}{2}\times2 = 5\times2 \)
This gives \( p = 10 \).

We can also check by substituting the given values:

• For \( p=-12 \): \( \frac{-12}{2}-15=-6 - 15=-21

eq - 10 \)

• For \( p = 10 \): \( \frac{10}{2}-15 = 5-15=-10 \), which matches the right - hand side of the equation.

Answer:

\( p = 10 \)