Elimination Method for Linear Equations

This video tutorial explains how to solve linear equations involving three variables using the elimination method. It covers two example problems, demonstrating the step-by-step process of eliminating variables to simplify the equations. The tutorial emphasizes the importance of sticking with one variable for elimination and using all given equations. It concludes with a summary of the solutions and offers additional resources for further learning.

What is the primary method discussed in the video for solving linear equations with three variables?

• Matrix

• Substitution

• Graphing

• Elimination

When using the elimination method, what is the first step?

• Choose a variable to eliminate

• Solve for one variable

• Graph the equations

• Use a calculator

In the first problem, which variable is eliminated first?

• None

• z

• y

• x

What is the result of adding equations 2 and 3 in the first problem?

• 4x - z = 2

• 5x - 5z = -5

• 3x + 3y = -18

• x + y = 0

After eliminating y, what are the two variables left in the first problem?

• x and y

• y and z

• x and z

• None

How is the z variable eliminated in the first problem?

• By graphing

• By substituting values

• By multiplying an equation

• By adding equations

What is the value of x after solving the reduced system in the first problem?

• 1

• 3

• 0

• 2

Which equation is used to solve for y in the first problem?

• Third equation

• Second equation

• Any equation

• First equation

What is the final solution for the first problem?

• (3, 1, -5)

• (1, 2, -3)

• (1, -3, 2)

• (2, -3, 1)

In the second problem, which variable is chosen to be eliminated first?

• None

• z

• x

• y