April 16, 2015

A lesson from engageNY. Both Student and Teacher versions of the lesson are provided

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.

Contains Student and Teacher versions of the lesson.

- Mathematics > General
- Mathematics > Algebra

- Grade 9
- Grade 10

Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.

Use appropriate tools strategically.

Attend to precision.

Look for and make use of structure.

Look for and express regularity in repeated reasoning.

Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.