Solve a System of Equations with Three Variables Step by Step

The video tutorial explains how to solve systems of equations with three variables using substitution and elimination methods. It provides step-by-step examples for each method, demonstrating how to find the values of variables that satisfy all equations. The tutorial emphasizes solving one variable or equation at a time and concludes with a summary of the methods used.

How many equations are needed to solve a system with three variables?

What is the primary method used to solve a system of equations with three variables?

Explain the substitution method in the context of solving three-variable equations.

What is the significance of knowing the value of one variable when solving for others?

Describe the elimination method and how it can be applied to a system of three equations.

What steps are involved in creating a new equation from existing equations to eliminate a variable?

How do you verify that the solutions found for the variables satisfy all original equations?