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Use Elimiretion Methal 3x =38-4y 9x= 122-13y %3D %3D |

Use Elimiretion Methal 3x =38-4y 9x= 122-13y %3D %3D |

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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How do I solve this with elimination method?
### Using the Elimination Method to Solve Linear Equations The following system of equations can be solved using the elimination method: 1. \( 3x = 38 - 4y \) 2. \( 9x = 122 - 13y \) #### Steps to Solve: 1. **Align the Equations:** - Rewrite the equations to align terms for easier manipulation. 2. **Eliminate a Variable:** - Multiply one or both equations as necessary to line up coefficients of either \( x \) or \( y \), then add or subtract the equations to eliminate that variable. 3. **Solve for the Remaining Variable:** - Once a variable is eliminated, solve the resulting single-variable equation. 4. **Back Substitute:** - Use the solution from step 3 to solve for the other variable. 5. **Verify the Solution:** - Substitute the values of \( x \) and \( y \) back into the original equations to ensure both are satisfied. This process helps find the solution to the system of linear equations by eliminating one of the variables and reducing the problem to a single-variable equation.
Transcribed Image Text:### Using the Elimination Method to Solve Linear Equations The following system of equations can be solved using the elimination method: 1. \( 3x = 38 - 4y \) 2. \( 9x = 122 - 13y \) #### Steps to Solve: 1. **Align the Equations:** - Rewrite the equations to align terms for easier manipulation. 2. **Eliminate a Variable:** - Multiply one or both equations as necessary to line up coefficients of either \( x \) or \( y \), then add or subtract the equations to eliminate that variable. 3. **Solve for the Remaining Variable:** - Once a variable is eliminated, solve the resulting single-variable equation. 4. **Back Substitute:** - Use the solution from step 3 to solve for the other variable. 5. **Verify the Solution:** - Substitute the values of \( x \) and \( y \) back into the original equations to ensure both are satisfied. This process helps find the solution to the system of linear equations by eliminating one of the variables and reducing the problem to a single-variable equation.
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