Determine If Point Is a Solution to a System of Linear Equations (Example)

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Systematically check a solution in a system. Given a point and a system, the presenter checks to see if the point is a solution to the system. Pupils understand what it means to be a solution to a system. The video shows both algebraically and graphically that the point is a solution to the system of linear equations.

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CCSS: Adaptable
Instructional Ideas

  • Challenge the class to find another system that has the same solution
Classroom Considerations

  • Individuals should know what it means for a point to satisfy an equation
  • Assumes pupils know how to graph a linear equation
Pros

  • Works each step of the arithmetic involved after the substitution
  • Uses colors to highlight the variables in the coordinate pair
Cons

  • None
Common Core