Q12. - Algebra 1

Question

Solve each equation. Check your solution.

$8=16+8\mathrm{n}$

Step-by-Step Solution

Answer

The solution of the given equation is $n=-1$.

Step 1. Write the given equation.

The given equation is “$8=16+8n$”.

Step 2. Solve the given equation.

Solving,

 

$8=16+8n$ (Given equation)

$8-16=16+8n-16$ (Subtract 16 from both sides)

$-8=8n$  (Simplify)

$\frac{-8}{8}=\frac{8n}{8}$  (Divide both sides by 8)

$-1=n$  (Simplify)

$n=-1$  (Write the variable on the left-hand side)

So, $n=-1$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $n=-1$ in the given equation $8=16+8n$ to get,

$\begin{array}{l}8=16+8\left(-1\right)\\ 8=16-8\\ 8=8\end{array}$

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.