## 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)

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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