Q39. - Algebra 1

Question

Solve each equation. Check your solution.

$\frac{n}{8}=-\frac{1}{4}$

Step-by-Step Solution

Answer

The required solution is $n=-2$.

Step 1. Write the given information.

The given equation is: $\frac{n}{8}=-\frac{1}{4}$

Step 2. Calculation.

Consider the given equation,

$$\begin{gathered} \frac{n}{8}=-\frac{1}{4} \\ n=-\frac{1}{4}\times 8 \\ n=-2 \end{gathered}$$

Step 3. Checking solution.

Substitute $n=-2$ in the given equation, we get

$$\begin{gathered} \frac{n}{8}=-\frac{1}{4} \\ \frac{-2}{8}=-\frac{1}{4} \\ -\frac{1}{4}=-\frac{1}{4} \end{gathered}$$

Hence, proved.