Q47. - Algebra 1

Question

Solve each equation. Check your solution.

$\frac{2}{3}=\frac{1}{8}y$

Step-by-Step Solution

Answer

The required solution is $y=\frac{16}{3}$.

Step 1. Write the given information.

The given equation is: $\frac{2}{3}=\frac{1}{8}y$

Step 2. Calculation.

Consider the given equation,

$$\begin{gathered} \frac{2}{3}=\frac{1}{8}y \\ \frac{2}{3}\times 8=y \\ y=\frac{16}{3} \end{gathered}$$

Step 3. Checking solution.

Substitute $y=\frac{16}{3}$ in the given equation, we get

$\begin{array}{l}\frac{2}{3}=\frac{1}{8}y\\ \frac{2}{3}=\frac{1}{8}\cdot \frac{16}{3}\\ \frac{2}{3}=\frac{2}{3}\end{array}$

Hence, proved.