Exploring Systems by Elimination

The video tutorial explains how to solve systems of equations using the elimination method. It covers the process of aligning equations, adding or subtracting to eliminate variables, and solving for the remaining variable. The tutorial also addresses cases where variables do not initially match, requiring multiplication to create matching terms. The video concludes with a summary of the steps involved in the elimination method.

Which method is most preferred by many students for solving systems of equations?

• None of the above

• Graphing

• Substitution

• Elimination

What is the main idea behind the elimination method?

• To graph the equations

• To substitute one variable

• To have a set of terms that match and then add or subtract the equations

• To solve for one variable directly

In the example where Y terms match, what is the value of X after elimination?

• 4

• 3

• 1

• 2

What should you do if there isn't a matching variable in the system of equations?

• Use graphing method

• Solve directly for one variable

• Use multiplication to create matching terms

• Use substitution method

When multiplying an equation to create matching terms, what is a common mistake students make?

• Forgetting to multiply the constant

• Multiplying only the variables

• Not lining up the equations

• Using the wrong signs

In the example where both equations are multiplied, what is the value of Y after solving?

• 2

• 1

• 3

• 4

What is the final solution for the system where both equations are multiplied?

• (11/2, 1)

• (5.5, 1)

• (5.5, -1)

• (11/2, -1)

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

• Add the equations

• Line up all variables and constants

• Subtract the equations

• Multiply the equations

What should you do after solving for the first variable in the elimination method?

• Graph the solution

• Substitute it back into one of the original equations

• Multiply the equations again

• Solve for the constant

What is the final step in the elimination method?

• Check the solution by graphing

• Substitute the first variable's value back into one of the original equations

• Multiply the equations

• Add the equations