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Solution Sets to Simultaneous Equations


Videos and solutions to help Algebra I students learn how to find solution sets to simultaneous equations.

New York State Common Core Math Module 1, Algebra I, Lesson 23

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Lesson Plans and Worksheets for Algebra I

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More Lessons for Algebra I

Common Core For Algebra I

Student Outcomes

Students create systems of equations that have the same solution set as a given system.

Students understand that adding a multiple of one equation to another creates a new system of two linear equations with the same solution set as the original system. This property provides a justification for a method to solve a system of two linear equations algebraically.

Exit Ticket

The sum of two numbers is 10 and their difference is 6. What are the numbers?

1. Create a system of two linear equations to represent this problem.

2. What is the solution to the system?

3. Create a new system of two linear equations using the methods described in question (9) of the Exploratory Challenge. Verify that the new system has the same solution.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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