Systems of Two Linear Equations in Two Variables

Instructions

  • The introductory video below explains the concepts in this section.
  • This page also includes exercises that you should attempt to solve yourself. You can check your answers and watch the videos explaining how to solve the exercises.
  • When you are done, you can use the graph to pick another section or use the buttons to go to the next section.

Learning Objectives

  • The format and possible solutions for a system of two linear equations in two variables
  • Solving a system of two linear equations with two variables
  • Using a TI-84 calculator to solve a system of two linear equations with two variables

Concept Video(s)

Exercises

1.

\((x,y)=(1,1)\)

2.

\((x,y)=(1,1)\)

3.

\((x,y)=(1,1)\)

4.

No solution

5.

\((x,y)=\left(\frac{5}{3}t-5,t\right)\) where \(t\) is any real number