Elimination Method in Linear Equations

The video tutorial by Mr. Backwork focuses on solving systems of linear equations using the elimination method. It explains the steps involved, such as multiplying equations to get opposite coefficients, adding equations to eliminate a variable, and solving for the remaining variable. The tutorial includes three examples: one focusing on eliminating x variables, another on y variables, and a third where both equations are multiplied to achieve elimination. The final solutions are presented as ordered pairs.

What is the main focus of this video tutorial?

• Solving quadratic equations

• Solving a system of linear equations using elimination

• Graphing linear equations

• Factoring polynomials

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

• Dividing equations

• Subtracting equations

• Adding equations together

• Multiplying equations to get opposite numbers in front of one variable

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

• y variable

• z variable

• x variable

• w variable

What is the result of adding the equations after eliminating the x variable in the first example?

• y = -1

• y = 1

• y = 2

• y = 0

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

• z variable

• y variable

• w variable

• x variable

What is the x value in the ordered pair solution for the second example?

• x = 5

• x = 3

• x = 9

• x = 7

In the third example, what is the strategy used to eliminate a variable?

• Add equations directly

• Multiply only one equation

• Multiply both equations to get opposite numbers

• Subtract equations

What is the y value in the ordered pair solution for the third example?

• y = 7

• y = 5

• y = 3

• y = 1