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13a + 5 = 18 13a Subtract 5 from both sides %3D a = Divide both sides by 13

13a + 5 = 18 13a Subtract 5 from both sides %3D a = Divide both sides by 13

Elementary Geometry For College Students, 7e
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
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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.
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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