Chapter 7: Q13. (page 247)

Find the value of x.
$\frac{x + 5}{4} = \frac{1}{2}$

Short Answer

Expert verified

The value of x is $- 3$ .

Step by step solution

Step 1. Given information.

The ratio here given is,

$\frac{x + 5}{4} = \frac{1}{2}$

Step 2. Concept and Formula Used.

The properties of proportion,

if $\frac{a}{b} = \frac{c}{d}$ then $a d = b c$ ,

The given ratio is, $\frac{x + 5}{4} = \frac{1}{2}$

Step 3. Use the property of proportion, if ab=cd then, ad=bc.

Then,

$\begin{array}{l} 2 (x + 5) = 1 (4) \\ 2 x + 10 = 4 (Usingdistributiveproperty) \\ 2 x = 4 - 10 \\ 2 x = - 6 \end{array}$

Step 4. Divide both sides by 2.

$\begin{array}{l} \frac{2 x}{2} = - \frac{6}{2} \\ x = - 3 \end{array}$

Therefore, the value of x is $- 3$ .

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.

Find the value of x.
$\frac{x + 5}{4} = \frac{1}{2}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept and Formula Used.

Step 3. Use the property of proportion, if ab=cd then, ad=bc.

Step 4. Divide both sides by 2.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Geometry

Decision Maths

Statistics

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the value of x.x+54=12

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept and Formula Used.

Step 3. Use the property of proportion, if ab=cd then, ad=bc.

Step 4. Divide both sides by 2.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Geometry

Decision Maths

Statistics

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the value of x.
$\frac{x + 5}{4} = \frac{1}{2}$