Lesson: Solution Cases of System of Linear Equations Mathematics • 9th Grade

In this lesson, we will learn how to determine whether a linear system of equations has a unique solution, no solution, or an infinite number of solutions.

Lesson Plan

Students will be able to

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, and an inconsistent system of linear equations (parallel lines) has no solution,
determine the number of solutions to a system of linear equations from a given graph of the system,
understand the relationships between the slopes of the lines in a system of linear equations and the number of solutions,
identify the number of solutions to a system of linear equations using their slopes and intercepts.

Lesson Explainer

Lesson Worksheet

Q1:

Determine the number of solutions to the system of equations

Q2:

Determine the number of solutions to the following system:

Q3:

Determine the value of that makes the system of equations have infinitely many solutions.