Lesson: Solving Systems of Linear Equations Graphically Mathematics • Third Year of Preparatory School

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In this lesson, we will learn how to solve a system of two linear equations by considering their graphs and identifying the point of intersection.

Students will be able to

understand that the solution set of a system of equations is graphically represented by the point or points at which the lines intersect,
understand the possible solution cases when solving a system of linear equations, particularly that
- an independent system of linear equations (nonparallel lines) has one solution,
- a dependent system of linear equations (coincident lines) has an infinite number of solutions,
- an inconsistent system of linear equations (parallel lines) has no solution,
identify how many solutions a system of linear equations has when given the graph of the system,
find the solutions to a system of linear equations when given the graph of the system, the graph and the two equations, the graph only, or the two equations only (by constructing a graph).