This video tutorial explains how to use the elimination method to solve systems of linear equations. It covers examples with two and three variables, demonstrating step-by-step how to eliminate variables to find solutions. The video begins with a simple two-variable example, progresses to a more complex two-variable system, and concludes with a three-variable system, emphasizing the importance of finding common multiples and systematically eliminating variables.

What is required to solve a system of equations with two variables?

• One equation

• Two equations

• Four equations

• Three equations

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What does the elimination method involve when solving systems of equations?

• Factoring equations

• Graphing equations

• Adding or subtracting equations

• Substituting variables

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How do you find the least common multiple (LCM) of 4 and 6?

• 12

• 10

• 24

• 18

What is the result of adding equations to eliminate a variable?

• A new equation with three variables

• A new equation with two variables

• No new equation

• A new equation with one variable

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the first step in solving a system of equations with three variables?

• Eliminate x first

• Eliminate y first

• Combine two equations to eliminate one variable

• Solve for z first

How do you determine which variable to eliminate first in a three-variable system?

• Eliminate z first

• Random choice

• Eliminate the variable that simplifies the equations

• Always eliminate x first

After finding the value of x in a three-variable system, what is the next step?

• Celebrate

• Find the value of y

• Substitute x back into the original equations

• Find the value of z

What is the value of y when solving the system with three variables in the example?

• 2

• 4

• 3

• 1

In the three-variable system example, what is the correct order of solving for the variables?

• x, y, z

• y, z, x

• z, x, y

• x, z, y

What is the final solution for the three-variable system provided in the example?

• (3, 2, 1)

• (2, 1, 3)

• (1, 2, 3)

• (1, 3, 2)