Chapter 4: Q63. (page 181)

Use cross products to solve each proportion.
$\frac{2}{y} = \frac{8}{9}$

Short Answer

Expert verified

Given proportion is simplified to $y = \frac{9}{4}$

Step by step solution

- Cross product between two proportions

Let $\frac{a}{b}$ and $\frac{c}{d}$ be two equal proportions that is $\frac{a}{b} = \frac{c}{d}$

Then cross product is defined as multiplication of denominator of one proportion with the numerator of other proportion, that is $a d = b c$

- Substitution

Substitute 2 for a, y for b, 8 for c, and 9 for d into $a d = b c$ gives

$2 \times 9 = y \times 8$ $2 \times 9 = y \times 8$

- Simplify 2×9=y×8

To simplify this expression multiply both the numbers of left side and then divide it from number on the right as shown below

$\begin{matrix} 18 = 8 y \\ y = \frac{18}{8} \\ y = \frac{9}{4} \end{matrix}$

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Use cross products to solve each proportion.
$\frac{2}{y} = \frac{8}{9}$

Short Answer

Step by step solution

- Cross product between two proportions

- Substitution

- Simplify 2×9=y×8

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Use cross products to solve each proportion.2y=89

Short Answer

Step by step solution

- Cross product between two proportions

- Substitution

- Simplify 2×9=y×8

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Discrete Mathematics

Applied Mathematics

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Mechanics Maths

Study anywhere. Anytime. Across all devices.

Use cross products to solve each proportion.
$\frac{2}{y} = \frac{8}{9}$