Algebra 2: Solving Systems of Three Equations

What is the main focus of this video tutorial?

• Solving quadratic equations

• Solving systems of three equations

• Graphing linear equations

• Understanding calculus concepts

In a three-dimensional coordinate system, which axis is added to the traditional x and y axes?

• w-axis

• v-axis

• z-axis

• u-axis

How do equations graph in a three-dimensional space?

• As circles

• As planes

• As points

• As lines

What is the first step in solving a system of three equations using elimination?

• Substituting values

• Graphing the equations

• Labeling each equation

• Finding the determinant

When using elimination, what is the goal when selecting pairs of equations?

• To multiply the equations

• To cancel out the same variable

• To add more variables

• To divide the equations

What operation is performed to make the z terms cancel out in the second pair of equations?

• Addition

• Subtraction

• Multiplication

• Division

After eliminating z, what is the next step in solving the system?

• Check the solutions

• Graph the equations

• Solve for x

• Solve for y

What value is found for x in the example problem?

• x = 2

• x = 5

• x = 4

• x = 3

What is the value of y after substituting x back into one of the equations?

• y = 3

• y = 6

• y = 5

• y = 4

What is the final value of z in the solved system?

• z = 5

• z = 4

• z = 6

• z = 3