Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
Warm-up problems also sometimes extend lessons that students have encountered before to more unfamiliar contexts. For a video narrative about how I structure each lesson, and how the warm-up fits in, click here.
5 - 11 WU70 Elimination 5 - multiply both equations.docx
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5 - 11 POTD70 Elimination 5 - multiply both equations.docx
5 - 11 IP70 Elimination 5 - multiply both equations.pdf
5-11 Gold Problem.pdf
5 - 11 HW70 Elimination 5 includes problems related to this lesson, four from this unit and one review problem. I also give the kids the answers to the problems.
5 - 11 HW70 Elimination 5 - multiply both equations.docx