Q46. - Algebra 1

Question

Solve each equation. Check your solution.

$9=\frac{-6p-(-3)}{-8}$

Step-by-Step Solution

Answer

The solution of the given equation is $p=12.5$.

Step 1. Isolate the variable.

$\begin{array}{l}9=\frac{-6p-(-3)}{-8}\\ 9(-8)=-6p+3\\ -72=-6p+3\\ -72-3=-6p\\ -75=-6p\end{array}$

Step-2. Solve for p .

$\begin{array}{l}-75=-6p\\ \frac{-75}{-6}=\frac{-6p}{-6}\\ p=12.5\end{array}$

Hence, the value of $p=12.5$.

Step 3. Verify the solution.

Put $p=12.5$ into the given equation.

$\begin{array}{l}9=\frac{-6\left(12.5\right)-(-3)}{-8}\\ 9=\frac{-75+3}{-8}\\ 9=\frac{-72}{-8}\\ 9=9\end{array}$