Elimination Method in Linear Systems

This video tutorial covers the elimination method for solving linear systems, aimed at eighth-grade students. It begins with an introduction to the method, followed by three examples that demonstrate how to apply elimination to solve equations. The tutorial emphasizes rewriting problems for clarity and adjusting equations to facilitate elimination. The video concludes with a call to practice the method using provided problems.

What is the primary goal of the elimination method in solving linear systems?

• To isolate one variable

• To graph the equations

• To eliminate one variable

• To find the slope of the line

In the first example, what is the value of x after eliminating the y variable?

• 3

• 2

• 4

• 5

How is the value of y found after determining x in the first example?

• By guessing

• By using the quadratic formula

• By graphing the equation

• By substituting x into the original equation

In the second example, what operation is performed to facilitate the elimination of x?

• Multiplication

• Addition

• Subtraction

• Division

What is the value of y in the second example after elimination?

• 2

• 3

• 4

• 1

In the third example, why are both equations multiplied by different numbers?

• To make the equations identical

• To eliminate the x variable

• To simplify the equations

• To eliminate the y variable

What is the final value of x in the third example?

• -41/2

• -41/6

• 41/2

• 41/6

What is the value of y in the third example after elimination?

• 55/2

• 55/6

• -55/2

• -55/6

What is the purpose of multiplying by the reciprocal in the third example?

• To eliminate the variable

• To simplify the equation

• To solve for x

• To solve for y

What is the result of adding the modified equations in the third example?

• Both variables are eliminated

• The y variable is eliminated

• No variables are eliminated

• The x variable is eliminated