Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
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![### Solving Linear Equations: Step-by-Step Guide
#### Algebra 2: Section B.3 - Solve Equations: Complete the Solution
### Objective:
Complete the process of solving the linear equation. Follow the steps and fill in the missing terms. Ensure to simplify any fractions.
### Example Equation:
\[ 13a + 5 = 18 \]
### Steps to Solve:
1. **Subtract 5 from both sides:**
\[ 13a + 5 - 5 = 18 - 5 \]
\[ 13a = \_\_\_\_ \]
- Fill in the missing number after subtracting 5 from both sides.
2. **Divide both sides by 13:**
\[ \frac{13a}{13} = \frac{\_\_\_\_}{13} \]
\[ a = \_\_\_\_ \]
- Divide both sides by 13 and simplify the fraction (if applicable).
### Diagram Explanation:
The diagram provided illustrates a step-by-step process of solving the given linear equation:
1. **First Step - Subtract 5 from both sides:**
\[ 13a + 5 = 18 \]
This part shows the subtraction of 5 from both sides, reducing the equation to:
\[ 13a = 13 \]
2. **Second Step - Divide both sides by 13:**
\[ \frac{13a}{13} = \frac{13}{13} \]
This step simplifies to:
\[ a = 1 \]
### Submission Button:
Once the fields are filled in, click the **Submit** button to check your solution.
---
By following these steps carefully, you will be able to solve similar linear equations efficiently. Practice more to gain confidence and proficiency in solving equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96652ec7-a82a-4b5f-b072-15f9327d0951%2F66fd7767-7607-4aae-b590-02467cb0f9a2%2Fpxcjhz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving Linear Equations: Step-by-Step Guide
#### Algebra 2: Section B.3 - Solve Equations: Complete the Solution
### Objective:
Complete the process of solving the linear equation. Follow the steps and fill in the missing terms. Ensure to simplify any fractions.
### Example Equation:
\[ 13a + 5 = 18 \]
### Steps to Solve:
1. **Subtract 5 from both sides:**
\[ 13a + 5 - 5 = 18 - 5 \]
\[ 13a = \_\_\_\_ \]
- Fill in the missing number after subtracting 5 from both sides.
2. **Divide both sides by 13:**
\[ \frac{13a}{13} = \frac{\_\_\_\_}{13} \]
\[ a = \_\_\_\_ \]
- Divide both sides by 13 and simplify the fraction (if applicable).
### Diagram Explanation:
The diagram provided illustrates a step-by-step process of solving the given linear equation:
1. **First Step - Subtract 5 from both sides:**
\[ 13a + 5 = 18 \]
This part shows the subtraction of 5 from both sides, reducing the equation to:
\[ 13a = 13 \]
2. **Second Step - Divide both sides by 13:**
\[ \frac{13a}{13} = \frac{13}{13} \]
This step simplifies to:
\[ a = 1 \]
### Submission Button:
Once the fields are filled in, click the **Submit** button to check your solution.
---
By following these steps carefully, you will be able to solve similar linear equations efficiently. Practice more to gain confidence and proficiency in solving equations.
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