Chapter 2: Q 13 (page 111)

In the following exercises, solve each linear equation. $\frac{2}{3} (9 c - 3) = 22$

Short Answer

Expert verified

The answer is $c = 4$

Step by step solution

Step 1. Given information

The equation is $\frac{2}{3} (9 c - 3) = 22$

Find value of c and check

Step 2. Calculation

Simplify the equation by multiplying 3

$3 (\frac{2}{3} (9 c - 3)) = 3 \times 22 18 c - 6 = 66$

Combine like terms

$18 c = 72$

Divide by 18 on both sides

$\frac{18 c}{18} = \frac{72}{18} c = 4$

Step 3. Check

Substitute $c = 4$ in $\frac{2}{3} (9 c - 3) = 22$

role="math" localid="1644372419654" $\frac{2}{3} (9 (4) - 3) = 22 \frac{2}{3} (36 - 3) = 22 \frac{2}{3} (33) = 22 22 = 22$

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.

In the following exercises, solve each linear equation. $\frac{2}{3} (9 c - 3) = 22$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Logic and Functions

Applied Mathematics

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each linear equation.239c-3=22

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Logic and Functions

Applied Mathematics

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each linear equation. $\frac{2}{3} (9 c - 3) = 22$