Learn to solve a system of three equations

The video tutorial explains how to solve a system of three variables by eliminating one variable to reduce it to a system of two variables. The instructor demonstrates the elimination method and substitution method to find the values of x, y, and z. The process involves labeling equations, choosing a variable to eliminate, and solving the resulting equations to find the final solution.

What is the first step to take when solving a system of three variables?

How do you determine which variable to eliminate in a system of equations?

What are the equations used in the elimination process for this example?

What is the result of adding the modified equations after eliminating y?

What method can be used to solve the equations after reducing them to two variables?

How do you find the value of z in this system of equations?

What is the final solution for the variables x, y, and z?