Introduction to Systems of Equations in Three Variables

We will solve problems involving three equations and three variables in this lesson. Doing so uses similar techniques as those used to solve systems of two equations in two variables. However, finding solutions to systems of three equations requires a bit more organization and a touch of visual gymnastics.

In particular, you will learn how to:

  • Solve systems of three equations in three variables
  • Identify inconsistent systems of equations containing three variables
  • Express the solution of a system of dependent equations containing three variables
  • Solve applications using systems of equations in three variables


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