Solving Systems of Equations with Elimination Method

The video tutorial teaches how to solve systems of equations using the elimination method, also known as linear combination. It covers three examples, demonstrating how to align variables, eliminate one variable, and solve for the other. The tutorial emphasizes the importance of stacking equations and using inverse operations to isolate variables. Each example builds on the previous one, showcasing different scenarios and techniques for solving linear equations.

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

• Graph both equations on a coordinate plane

• Substitute one variable into the other equation

• Align the variables, equal signs, and constants

• Multiply both equations by the same number

What allows us to eliminate a variable in the elimination method?

• Variables with the same coefficient

• Subtracting one equation from the other

• Variables with coefficients that are opposites

• Adding the two equations together

After eliminating a variable, what is the next step?

• Substitute the found value back into one of the original equations

• Solve for the remaining variable

• Eliminate the other variable

• Graph the remaining equation

In the first example, what is the value of y?

• 3

• 4

• 2

• -3

How do you find the value of x after finding y in the first example?

• Add the value of y to both sides of one equation

• Substitute y into the first equation

• Substitute y into the second equation

• Subtract the value of y from both sides of one equation

In the second example, which variable is eliminated first?

• x

• y

• Both are eliminated simultaneously

• Neither, a different method is used

What is the value of x in the second example?

• -1

• 4

• -4

• 1

In the third example, why was rearrangement of the equation necessary?

• To simplify the equation

• To make the coefficients opposites

• To eliminate a variable

• To align like variables

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

• -1

• -4

• 1

• 4

What does the point of intersection represent in a system of equations?

• The values that satisfy neither equation

• The minimum value of the system

• The maximum value of the system

• The values that satisfy both equations