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Easy Steps to Solve Systems of Equations: Elimination and Substitution

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Asiya

8/18/2023

Algebra 2

System of Equations: elimination/substitution

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Algebra 2

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Modeling

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Modeling with Two Variables

Easy Steps to Solve Systems of Equations: Elimination and Substitution

A comprehensive guide to solving system of equations elimination method steps and substitution techniques in algebra.

  • Learn two primary methods for solving systems of linear equations: elimination and substitution
  • Master the systematic approach to solving equations through detailed step-by-step instructions
  • Understand how to verify solutions and check work for accuracy
  • Practice with multiple example problems for solving linear equations across varying difficulty levels
  • Gain proficiency in how to solve system of equations using substitution through structured learning
...

8/18/2023

77

System of Equations - Elimination (4.1) 1/31/23 1. Place both equations in standard form. Ax + By = C 12. Determine which variable to elimin

View

Page 2: Advanced Elimination Examples

This page demonstrates more complex applications of the elimination method, showing how to handle equations with different coefficients and variables.

Vocabulary: LCM LeastCommonMultipleLeast Common Multiple - Used when coefficients need to be matched for elimination

Example: For the system: 2x + 4y = 1 2x - y = 6 Solve by first aligning coefficients of x, then subtracting equations

Highlight: When working with fractions, multiply equations by appropriate factors to create whole numbers before elimination

System of Equations - Elimination (4.1) 1/31/23 1. Place both equations in standard form. Ax + By = C 12. Determine which variable to elimin

View

Page 3: Substitution Method

The substitution method offers an alternative approach to solving systems of equations by expressing one variable in terms of another.

Definition: Substitution involves solving for one variable in terms of another and replacing it in the second equation.

Example: For the system: 2x + 3y = 10 5x - y = 2 Solve by expressing y in terms of x: y = -x + 10

Highlight: The substitution method is particularly useful when:

  • One variable has a coefficient of 1
  • One equation is already solved for a variable
  • Direct elimination would be more complicated

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Subjects

Algebra 2

Modeling

Modeling with Two Variables

 

Algebra 2

•

77

•

Aug 18, 2023

•

3 pages

Easy Steps to Solve Systems of Equations: Elimination and Substitution

user profile picture

Asiya

@ciya

A comprehensive guide to solving system of equations elimination method steps and substitution techniques in algebra.

  • Learn two primary methods for solving systems of linear equations: elimination and substitution
  • Master the systematic approach to solving equations through detailed step-by-step instructions... Show more

System of Equations - Elimination (4.1) 1/31/23 1. Place both equations in standard form. Ax + By = C 12. Determine which variable to elimin

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Page 2: Advanced Elimination Examples

This page demonstrates more complex applications of the elimination method, showing how to handle equations with different coefficients and variables.

Vocabulary: LCM LeastCommonMultipleLeast Common Multiple - Used when coefficients need to be matched for elimination

Example: For the system: 2x + 4y = 1 2x - y = 6 Solve by first aligning coefficients of x, then subtracting equations

Highlight: When working with fractions, multiply equations by appropriate factors to create whole numbers before elimination

System of Equations - Elimination (4.1) 1/31/23 1. Place both equations in standard form. Ax + By = C 12. Determine which variable to elimin

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Page 3: Substitution Method

The substitution method offers an alternative approach to solving systems of equations by expressing one variable in terms of another.

Definition: Substitution involves solving for one variable in terms of another and replacing it in the second equation.

Example: For the system: 2x + 3y = 10 5x - y = 2 Solve by expressing y in terms of x: y = -x + 10

Highlight: The substitution method is particularly useful when:

  • One variable has a coefficient of 1
  • One equation is already solved for a variable
  • Direct elimination would be more complicated
System of Equations - Elimination (4.1) 1/31/23 1. Place both equations in standard form. Ax + By = C 12. Determine which variable to elimin

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Improve your grades

Join milions of students

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Page 1: System of Equations - Elimination Method

The elimination method follows a structured approach to solving systems of equations by strategically removing variables. This page outlines the fundamental steps and provides practical examples.

Definition: The elimination method involves manipulating two equations to cancel out one variable, allowing you to solve for the remaining variable.

Highlight: The five key steps for elimination method are:

  1. Write equations in standard form
  2. Choose variable to eliminate
  3. Solve for remaining variable
  4. Substitute to find second variable
  5. Verify solution

Example: Consider the system: 5x + 2y = 1 5x + 3y = 11 By subtracting equations, we eliminate x and solve for y=2

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Stefan S

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This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

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Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

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This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

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