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## Activity 13.3: What About... ### Solve Each System Without Graphing #### System 1 1. \(5x - 2y = 26\) 2. \(y + 4 = x\) #### System 2 1. \(2d = 8f\) 2. \(18 - 4f = 2d\) --- ### Explanation This exercise involves solving systems of linear equations algebraically, rather than using graphical methods. For each pair, identify the substitution or elimination method to find the values that satisfy both equations simultaneously. #### System 1: - **Equation 1:** \(5x - 2y = 26\) - **Equation 2:** \(y + 4 = x\) In this system, you can substitute the expression from Equation 2 for \(x\) in Equation 1 to find \(y\), then substitute back to find \(x\). #### System 2: - **Equation 1:** \(2d = 8f\) - **Equation 2:** \(18 - 4f = 2d\) Here, consider simplifying Equation 1, then substitute into Equation 2 to solve for \(f\), and use that value to find \(d\). These exercises develop skills in solving linear equations, an essential foundation for algebraic problem-solving.

## Activity 13.3: What About... ### Solve Each System Without Graphing #### System 1 1. \(5x - 2y = 26\) 2. \(y + 4 = x\) #### System 2 1. \(2d = 8f\) 2. \(18 - 4f = 2d\) --- ### Explanation This exercise involves solving systems of linear equations algebraically, rather than using graphical methods. For each pair, identify the substitution or elimination method to find the values that satisfy both equations simultaneously. #### System 1: - **Equation 1:** \(5x - 2y = 26\) - **Equation 2:** \(y + 4 = x\) In this system, you can substitute the expression from Equation 2 for \(x\) in Equation 1 to find \(y\), then substitute back to find \(x\). #### System 2: - **Equation 1:** \(2d = 8f\) - **Equation 2:** \(18 - 4f = 2d\) Here, consider simplifying Equation 1, then substitute into Equation 2 to solve for \(f\), and use that value to find \(d\). These exercises develop skills in solving linear equations, an essential foundation for algebraic problem-solving.

Algebra and Trigonometry (6th Edition)
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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## Activity 13.3: What About... ### Solve Each System Without Graphing #### System 1 1. \(5x - 2y = 26\) 2. \(y + 4 = x\) #### System 2 1. \(2d = 8f\) 2. \(18 - 4f = 2d\) --- ### Explanation This exercise involves solving systems of linear equations algebraically, rather than using graphical methods. For each pair, identify the substitution or elimination method to find the values that satisfy both equations simultaneously. #### System 1: - **Equation 1:** \(5x - 2y = 26\) - **Equation 2:** \(y + 4 = x\) In this system, you can substitute the expression from Equation 2 for \(x\) in Equation 1 to find \(y\), then substitute back to find \(x\). #### System 2: - **Equation 1:** \(2d = 8f\) - **Equation 2:** \(18 - 4f = 2d\) Here, consider simplifying Equation 1, then substitute into Equation 2 to solve for \(f\), and use that value to find \(d\). These exercises develop skills in solving linear equations, an essential foundation for algebraic problem-solving.
Transcribed Image Text:## Activity 13.3: What About... ### Solve Each System Without Graphing #### System 1 1. \(5x - 2y = 26\) 2. \(y + 4 = x\) #### System 2 1. \(2d = 8f\) 2. \(18 - 4f = 2d\) --- ### Explanation This exercise involves solving systems of linear equations algebraically, rather than using graphical methods. For each pair, identify the substitution or elimination method to find the values that satisfy both equations simultaneously. #### System 1: - **Equation 1:** \(5x - 2y = 26\) - **Equation 2:** \(y + 4 = x\) In this system, you can substitute the expression from Equation 2 for \(x\) in Equation 1 to find \(y\), then substitute back to find \(x\). #### System 2: - **Equation 1:** \(2d = 8f\) - **Equation 2:** \(18 - 4f = 2d\) Here, consider simplifying Equation 1, then substitute into Equation 2 to solve for \(f\), and use that value to find \(d\). These exercises develop skills in solving linear equations, an essential foundation for algebraic problem-solving.
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