Lesson 23 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.
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.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.