Using Substitution to Solve Systems of Linear Equations – Practice Problems

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

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

After this lesson, you will be able to use the substitution method to write the solution for a system of linear equations.

The lesson begins with a review of how to use the graph of two lines to find a solution to a system of linear equations. It then outlines a strategy for using algebraic substitution to solve systems of linear equations, without graphing.

Learn how to solve system of linear equations with substitution by helping Valdemar get his ax back!

This video includes key concepts, notation, and vocabulary such as: system of equations (a set of equations which occurs simultaneously), linear equation (an equation between two variables that gives a straight line when graphed), and substitution method (a method used to solve a system of linear equations).

Before watching this video, you should already be familiar with estimating the solution to a system of equations by finding the point of intersection on a graph.

After watching this video, you will be prepared to learn more about using algebra to solve systems of equations.

Common Core Standard(s) in focus: 8.EE.B.5, 8.EE.C.8
A video intended for math students in the 8th grade
Recommended for students who are 13 - 14 years old

Go to Video Lesson
Exercises in this Practice Problem
Recall the steps for solving a system of two linear equations.
Identify the solution to the system of linear equations using the substitution method.
Determine the solution for the system of equations using the substitution method.
Solve these word problems through systems of linear equations.
Solve the equation by substituting.
Solve systems of linear equations with fractional coefficients.