Solve a System of three variables when given one variable

The video tutorial explains how to solve a system of three equations by reducing it to two equations with two variables. The teacher demonstrates finding the value of Z, substituting it into the equations, and solving the resulting system using substitution. The process is recapped, highlighting the steps taken to find the values of X, Y, and Z.

What is the main goal when reducing a system of three equations to two equations with two variables?

• To ensure all variables are equal

• To eliminate the need for any calculations

• To make the equations easier to solve using known methods

• To simplify the equations for easier graphing

Which value is found first in the process of solving the system of equations?

• X

• Y

• Z

• None of the above

After finding the value of Z, what is the next step in solving the system?

• Eliminate X from the equations

• Substitute Z into the other equations

• Graph the equations

• Solve for Y directly

What method is used to solve the two-variable system in the video?

• Trial and error

• Elimination

• Substitution

• Graphing

What is the value of Y found in the solution process?

• 0

• -1

• 1

• 2

What is the final value of X after solving the system?

• 0

• 3

• 2

• 1

What is the final step in solving the system of equations?

• Graphing the solution

• Checking the solution by substitution

• Finding the value of Z

• Summarizing the solution process