Guide students to discover the concepts on their own! Little direct instruction required. Students do the work. Leads to retention, not repetition.
Lesson begins with a real life application of solving systems that lends itself to elimination. This gives students a need for a different method of solving other than graphing or elimination. It then explains how elimination works through the use of equivalent equations.
Also explains systems with no solution and infinitely many solutions.
It finishes with summary questions for students.