Chapter 4: Q64. (page 181)

Use cross products to solve each proportion.
$\frac{x}{5} = \frac{x + 1}{8}$

Short Answer

Expert verified

Given proportion is simplified to $x = \frac{5}{3}$

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 x for a, 5 for b, $x + 1$ for c, and 8 for d into $a d = b c$ gives

$x \times 8 = 5 \times (x + 1)$

- Simplify x×8=5×x+1

To simplify this expression multiply both the numbers of right side and then simplify to group the coefficient of variable and then divide it from coefficient as shown below

$\begin{matrix} 8 x = 5 x + 5 \\ 8 x - 5 x = 5 \\ 3 x = 5 \\ x = \frac{5}{3} \end{matrix}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Use cross products to solve each proportion.
$\frac{x}{5} = \frac{x + 1}{8}$

Short Answer

Step by step solution

- Cross product between two proportions

- Substitution

- Simplify x×8=5×x+1

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Discrete Mathematics

Applied Mathematics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

Use cross products to solve each proportion.x5=x+18

Short Answer

Step by step solution

- Cross product between two proportions

- Substitution

- Simplify x×8=5×x+1

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Discrete Mathematics

Applied Mathematics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

Use cross products to solve each proportion.
$\frac{x}{5} = \frac{x + 1}{8}$