Chapter 2: Q 2.5 (page 101)

Solve: $\frac{1}{3} (6 u + 3) = 7 - u$ .

Short Answer

Expert verified

The solution is $u = 2$ .

Step by step solution

Step 1. Given information.

Solve the below linear equation,

$\frac{1}{3} (6 u + 3) = 7 - u$ .

Step 2. Use the Distributive Property to remove any parentheses. Combine like terms.

$\frac{1}{3} (6 u + 3) = 7 - u 2 u + 1 = 7 - u 2 u + 1 + u = 7 - u + u 3 u + 1 = 7 3 u + 1 - 1 = 7 - 1 3 u = 6 \frac{3 u}{3} = \frac{6}{3} u = 2$

Step 3. Check the solution.

Put $u = 2$ into the equation.

$\frac{1}{3} (6 u + 3) = 7 - u \frac{1}{3} (6 \cdot 2 + 3) = 7 - 2 \frac{1}{3} (12 + 3) = 5 \frac{15}{3} = 5 5 = 5$

Hence, the solution is correct.

Step 4. Conclusion.

The solution of the given linear equation is $u = 2$ .

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: $\frac{1}{3} (6 u + 3) = 7 - u$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Use the Distributive Property to remove any parentheses. Combine like terms.

Step 3. Check the solution.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Statistics

Applied Mathematics

Probability and Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Solve: 13(6u+3)=7-u.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Use the Distributive Property to remove any parentheses. Combine like terms.

Step 3. Check the solution.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Statistics

Applied Mathematics

Probability and Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Solve: $\frac{1}{3} (6 u + 3) = 7 - u$ .