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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 11: Q. 1 QC (page 667)

Solve each proportion.
$\frac{y}{3} = \frac{8}{9}$

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Means-Extremes Property of proportion

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

02

Step 2. Cross product.

Find the cross products.

$\begin{matrix} y (9) = 3 (8) \\ 9 y = 24 \end{matrix}$

03

Step 3. Divide.

Divide each side of the obtained equation by 9.

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

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

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Most popular questions from this chapter

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

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