Chapter 8: 8.148 - Try It (page 987)

Solve: $\frac{2 x + 15}{9} = \frac{7 x + 3}{15}$ .

Short Answer

Expert verified

The value of x is 6.

Step by step solution

Step 1. Given Information

We are given with two ratios equal to each other and we need to solve it for x:

$\frac{2 x + 15}{9} = \frac{7 x + 3}{15} .$

Step 2. Solving for x

Firstly find LCM of 9 and 15 which is 45

Now, multiply both sides of the equation with this LCM and solving for x:

$45 (\frac{2 x + 15}{9}) = 45 (\frac{7 x + 3}{15}), 10 x + 75 = 21 x + 9, (21 - 10) x = 75 - 9, 11 x = 66, x = \frac{66}{11} = 6 .$

Step 3. Checking the result

We get $x = 6$ as our result and now we will check it from the original equation:

$P u t x = 6 i n : \frac{2 x + 15}{9} = \frac{7 x + 3}{15}, \frac{2 \times 6 + 15}{9} = \frac{7 \times 6 + 3}{15}, \frac{27}{9} = \frac{45}{15}, 3 = 3 .$

This means our result is correct.

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.

Solve: $\frac{2 x + 15}{9} = \frac{7 x + 3}{15}$ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solving for x

Step 3. Checking the result

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Geometry

Discrete Mathematics

Mechanics Maths

Calculus

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve:2x+159=7x+315.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solving for x

Step 3. Checking the result

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Geometry

Discrete Mathematics

Mechanics Maths

Calculus

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve: $\frac{2 x + 15}{9} = \frac{7 x + 3}{15}$ .