Learning goals: Teacher Facing Comprehend that solving a system of equations means finding values of the variables that makes both equations true at the same time. Coordinate (orally and in writing) graphs of parallel lines and a system of equations that has no solutions. Create a graph of two lines that represents a system of equations in context. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from 8.4 Linear Equations and Linear Systems, Grade 8.