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2. 5x+7y=-17 4x-3y= 201

2. 5x+7y=-17 4x-3y= 201

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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solve each system of equation by substitution. clearly identify your solution.
### Systems of Equations: Solve the following system of linear equations: 1. \(5x + 7y = -17\) 2. \(4x - 3y = -5\) ### Notes: - This set of equations can be solved using various methods, including substitution, elimination, or graphing. - The goal is to find values of \(x\) and \(y\) that satisfy both equations simultaneously. #### Method Suggestions: - **Substitution:** Solve one equation for one variable and substitute this expression into the second equation. - **Elimination:** Multiply one or both equations to align coefficients and eliminate one of the variables by addition or subtraction. #### Additional Information: - This problem is part of a set of practice exercises from a worksheet by Gina Wilson (All Things Algebra). ### Tips: - Check your solution by substituting the values back into the original equations. - Ensure your calculations are accurate to avoid errors. This exercise is designed to enhance understanding of linear equations and their graphical representation on a coordinate plane.
Transcribed Image Text:### Systems of Equations: Solve the following system of linear equations: 1. \(5x + 7y = -17\) 2. \(4x - 3y = -5\) ### Notes: - This set of equations can be solved using various methods, including substitution, elimination, or graphing. - The goal is to find values of \(x\) and \(y\) that satisfy both equations simultaneously. #### Method Suggestions: - **Substitution:** Solve one equation for one variable and substitute this expression into the second equation. - **Elimination:** Multiply one or both equations to align coefficients and eliminate one of the variables by addition or subtraction. #### Additional Information: - This problem is part of a set of practice exercises from a worksheet by Gina Wilson (All Things Algebra). ### Tips: - Check your solution by substituting the values back into the original equations. - Ensure your calculations are accurate to avoid errors. This exercise is designed to enhance understanding of linear equations and their graphical representation on a coordinate plane.
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