Understanding the Elimination Method in Solving Linear Equations

The video tutorial explains how to solve a system of linear equations using the elimination method, also known as the addition method. It demonstrates finding the solution as an ordered pair (X, Y) by eliminating one variable and solving for the other. The tutorial includes verifying the solution and classifying the system as consistent and independent. It also introduces advanced techniques for cases where terms are not initially opposites.

What is another name for the elimination method?

• Division method

• Addition method

• Multiplication method

• Subtraction method

What is the goal of the elimination method when solving a system of equations?

• To eliminate one variable

• To find the sum of the equations

• To multiply the equations

• To divide the equations

In standard form, where should the X and Y terms be placed?

• In the middle

• At the bottom

• On the left side

• On the right side

What is the result when opposite terms are added in the elimination method?

• A positive sum

• A zero sum

• A non-zero sum

• A negative sum

After finding the value of one variable, what is the next step?

• Add the equations

• Verify the solution

• Solve for the other variable

• Multiply the equations

What is the ordered pair solution for the given system of equations?

• (3, 2)

• (-3, 2)

• (2, -3)

• (3, -2)

How can you verify that the solution satisfies both equations?

• By dividing the equations

• By multiplying the equations

• By substituting the values back into the equations

• By adding the equations

What classification is given to a system with one unique solution?

• Dependent

• Consistent and dependent

• Inconsistent

• Consistent and independent

What should you do if the X or Y terms are not opposites?

• Add a constant to both equations

• Divide one or both equations by a constant

• Subtract a constant from both equations

• Multiply one or both equations by a constant

What is the next step after verifying the solution in the elimination method?

• Solve another system

• Multiply the equations

• Check for non-opposite terms

• Add the equations again