Chapter 1: Q32 (page 10)

Find the value of the variable.
$3 u + (u - 2) = 10$

Short Answer

Expert verified

The value of the variable is $u = 3$ .

Step by step solution

Step 1. Combine the like terms.

First remove all the brackets and combine the like terms 3u and u.

$\begin{array}{l} 3 u + (u - 2) = 10 \\ 3 u + u - 2 = 10 \\ 4 u - 2 = 10 \end{array}$

Step 2. Add 2.

To find the value of variable u in the equation $4 u - 2 = 10$ , add 2 on both sides of the equation.

$\begin{array}{l} 4 u - 2 + 2 = 10 + 2 \\ 4 u = 12 \end{array}$

Step 3. Divide by 4.

Divide both sides of the equation $4 u = 12$ by 4 and cancel the common factors of 4 on both sides.

$\begin{array}{l} \frac{4 u}{4} = \frac{12}{4} \\ u = \frac{4 \times 3}{4} \\ u = 3 \end{array}$

Step 4. Verify the value.

In order to verify the value of u, substitute 3 for u into the equation $3 u + (u - 2) = 10$ .

$\begin{array}{l} 3 \times 3 + (3 - 2) = 10 \\ 9 + 1 = 10 \\ 10 = 10 True \end{array}$

Hence, the value of the variable is $u = 3$ .

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 the variable.
$3 u + (u - 2) = 10$

Short Answer

Step by step solution

Step 1. Combine the like terms.

Step 2. Add 2.

Step 3. Divide by 4.

Step 4. Verify the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Discrete Mathematics

Decision Maths

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

Find the value of the variable.3u+u−2=10

Short Answer

Step by step solution

Step 1. Combine the like terms.

Step 2. Add 2.

Step 3. Divide by 4.

Step 4. Verify the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Discrete Mathematics

Decision Maths

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

Find the value of the variable.
$3 u + (u - 2) = 10$