Nature of Solutions of a System of Linear Equations – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

This exercise will soon be on your smartphone!

For now, Practice Problems are only available on tablets and desktop computers. Please log in on one of these devices.

Do you need help? Watch the Video Lesson for this Practice Problem.

A system of linear equations in two variables can have one solution, no solution, or infinitely many solutions. The slopes and y-intercepts of the linear equations can be used to determine the number of the solutions the system of linear equations has. Learn about the different types of solutions to a system of linear equations in two variables by accompanying Little Jimmy and Uncle Mike on their first sushi-eating adventure in the city’s oldest Japanese restaurant. Common Core Reference: CCSS.MATH.CONTENT.8.EE.C.7.A

Go to Video Lesson
Exercises in this Practice Problem
Explain how to find the solution to the system of equations.
Find the graph which corresponds to the system of equations.
Determine which systems of equations have one, infinitely many, or no solutions.
Graph the system of equations and find the solution(s), if any exist.
Identify which statements are true.
Find the solution(s), if any exist, to the system of equations.