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Solve the system. 2x+2y+z = -2 -x-2y+2z = -5 2x+4y+z = 0 ? ojo x

Solve the system. 2x+2y+z = -2 -x-2y+2z = -5 2x+4y+z = 0 ? ojo x

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.1: Systems Of Linear Equations
Problem 83E: Use the system of three equations in three variables to solve each problem. Work schedules A college...
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### Solving the System of Equations Consider the following system of equations: 1. \(2x + 2y + z = -2\) 2. \(-x - 2y + 2z = -5\) 3. \(2x + 4y + z = 0\) #### Steps to Solve: 1. **Setting Up the Equations**: - The system consists of three equations with three variables: \(x\), \(y\), and \(z\). 2. **Graph Explanation**: - A box is shown for the values of \(x\), \(y\), and \(z\), indicating placeholders for the solutions. - There is a control box with options that might represent actions or adjustments you can make, such as resetting the solution or checking it. 3. **Approach**: - You can use methods like substitution, elimination, or matrix operations (e.g., Gaussian elimination) to solve the system. - Regular checks with the given equations ensure that the solutions satisfy all equations. #### Additional Tools: - **Interactive Options**: The control box might provide functionalities such as: - Resetting the problem (\(x\)). - Information or hints (\(?\)). - Other tools which appear as icons. This setup offers an engaging, interactive way to practice solving systems of equations. Utilize any available tools or hints to facilitate finding the solution.
Transcribed Image Text:### Solving the System of Equations Consider the following system of equations: 1. \(2x + 2y + z = -2\) 2. \(-x - 2y + 2z = -5\) 3. \(2x + 4y + z = 0\) #### Steps to Solve: 1. **Setting Up the Equations**: - The system consists of three equations with three variables: \(x\), \(y\), and \(z\). 2. **Graph Explanation**: - A box is shown for the values of \(x\), \(y\), and \(z\), indicating placeholders for the solutions. - There is a control box with options that might represent actions or adjustments you can make, such as resetting the solution or checking it. 3. **Approach**: - You can use methods like substitution, elimination, or matrix operations (e.g., Gaussian elimination) to solve the system. - Regular checks with the given equations ensure that the solutions satisfy all equations. #### Additional Tools: - **Interactive Options**: The control box might provide functionalities such as: - Resetting the problem (\(x\)). - Information or hints (\(?\)). - Other tools which appear as icons. This setup offers an engaging, interactive way to practice solving systems of equations. Utilize any available tools or hints to facilitate finding the solution.
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