Homework Help is Here – Start Your Trial Now!
Math
Algebra
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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 3GP
See similar textbooks
Question

confused?

### 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
SEE MORE TEXTBOOKS