Q16. - Algebra 1

Question

Solve each equation. Check your solution.

$8=4\left(r+4\right)$

Step-by-Step Solution

Answer

The solution of the given equation is $r=-2$.

Step 1. Write the given equation.

The given equation is “$8=4\left(r+4\right)$”.

Step 2. Solve the given equation.

Solving,

$8=4\left(r+4\right)$  (Given equation)

$\frac{8}{4}=\frac{4\left(r+4\right)}{4}$  (Divide both sides by 4)

$2=r+4$  (Simplify)

$2-4=r+4-4$  (Subtract 4 from both sides)

$-2=r$  (Simplify)

$r=-2$  (Write the variable on the left-hand side)

So, $r=-2$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $r=-2$ in the given equation $8=4\left(r+4\right)$ to get,

$\begin{array}{l}8=4\left(-2+4\right)\\ 8=4\left(2\right)\\ 8=8\end{array}$

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.