Solving Linear Equations with the Elimination Method

This video tutorial explains how to solve systems of linear equations using the addition method, also known as the elimination method. The method involves adding two equations to eliminate one variable, allowing for the solution of the other. The tutorial provides multiple examples, demonstrating the step-by-step process of aligning variables, determining which to eliminate, and verifying solutions. The video emphasizes the importance of making coefficients opposites to effectively eliminate variables.

What is another name for the addition method?

• Graphing method

• Matrix method

• Substitution method

• Elimination method

What happens when you add the two equations together in the addition method?

• Both variables are eliminated

• One of the variables is eliminated

• The equations become identical

• The coefficients are doubled

What is the first step in solving a system using the addition method?

• Solve for one variable

• Line up the variables

• Multiply both equations by a constant

• Add the equations together

In the first example, what is the value of x after eliminating the Y terms?

• -1

• -5

• 1

• 5

After finding x = -1 in the first example, what is the next step?

• Substitute x into one of the original equations

• Verify the solution

• Multiply the equations by a constant

• Add the equations together again

In the second example, what is the value of y after eliminating the X terms?

• 1

• -5

• -1

• 5

What is the ordered pair solution for the second example?

• (-8, -6)

• (7, 4)

• (-3, 1)

• (-1, 5)

In the third example, what is the least common multiple of the coefficients of the X terms?

• 21

• 10

• 35

• 15

What is the ordered pair solution for the third example?

• (3, -2)

• (7, 4)

• (-1, 5)

• (-8, -6)

What is the final step in verifying the solution of a system of equations?

• Solve for one variable

• Substitute the solution into the original equations

• Add the equations together

• Multiply both equations by a constant