Q. 1 QC - Algebra 1

Question

Solve each proportion.

$\frac{\mathbf{y}}{3}\mathbf{=}\frac{8}{9}$

Step-by-Step Solution

Answer

The solution of given proportion is $\mathit{y}\mathbf{=}\frac{8}{3}$.

Step 1. Means-Extremes Property of proportion

If $\frac{p}{q}=\frac{r}{s}$ and $q,s\ne 0$ then $ps=qr$.

Step 2. Cross product.

Find the cross products.

$\begin{array}{c}y\left(9\right)=3\left(8\right)\\ 9y=24\end{array}$

Step 3. Divide.

Divide each side of the obtained equation by 9.

$\begin{array}{c}\frac{9y}{9}=\frac{24}{9}\\ y=\frac{8}{3}\end{array}$

Therefore, the solution of given proportion is $y=\frac{8}{3}$.