Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:Below is a multiple-choice question format often used in educational assessments. Each option consists of a pair of numbers:
1. (1) 1 and 2
2. (2) 2 and 3
3. (3) 3 and 4
4. (4) 4 and 5
This type of question might typically be used for testing numerical pattern recognition, sequences, or matching related items. Each choice provides a different pair of consecutive numbers.
![**Solving Linear Equations: Step-by-Step Solution**
Debbie solved the linear equation \(3(x + 4) - 2 = 16\) as follows:
**[Line 1]**
\[ 3(x + 4) - 2 = 16 \]
**[Line 2]**
\[ 3(x + 4) = 18 \]
*Explanation:* Add 2 to both sides of the equation to isolate the term involving the variable \(x\).
**[Line 3]**
\[ 3x + 4 = 18 \]
*Explanation:* Distribute the 3 across the terms inside the parentheses.
**[Line 4]**
\[ 3x = 14 \]
*Explanation:* Subtract 4 from both sides of the equation.
**[Line 5]**
\[ x = \frac{14}{3} = 4\frac{2}{3} \]
*Explanation:* Divide both sides by 3 to solve for \(x\).
Thus, the solution to the equation \(3(x + 4) - 2 = 16\) is \(x = 4\frac{2}{3}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c342ef9-15eb-4644-84b3-472082cb2e11%2Ff6b8c245-8166-4856-bcca-6fbe781e377a%2F2upkf74_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Solving Linear Equations: Step-by-Step Solution**
Debbie solved the linear equation \(3(x + 4) - 2 = 16\) as follows:
**[Line 1]**
\[ 3(x + 4) - 2 = 16 \]
**[Line 2]**
\[ 3(x + 4) = 18 \]
*Explanation:* Add 2 to both sides of the equation to isolate the term involving the variable \(x\).
**[Line 3]**
\[ 3x + 4 = 18 \]
*Explanation:* Distribute the 3 across the terms inside the parentheses.
**[Line 4]**
\[ 3x = 14 \]
*Explanation:* Subtract 4 from both sides of the equation.
**[Line 5]**
\[ x = \frac{14}{3} = 4\frac{2}{3} \]
*Explanation:* Divide both sides by 3 to solve for \(x\).
Thus, the solution to the equation \(3(x + 4) - 2 = 16\) is \(x = 4\frac{2}{3}\).
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