Solving Systems of Equations with Substitution

What is the primary goal of the substitution method in solving systems of equations?

• To find the value of one variable at a time

• To graph the equations on a coordinate plane

• To multiply both equations together

• To eliminate all variables

What does the equal sign signify in the substitution method?

• The expressions on either side have the same value

• The expressions are to be graphed

• One variable is greater than the other

• The variables are unrelated

After solving for x in the first example, what was its value?

• -1

• -2

• 0

• 1

How do you check if the solution to a system of equations is correct?

• By graphing the equations

• By substituting the values back into one of the original equations

• By solving the equations again

• By adding the values of x and y

What should the final answer of a system of equations be presented as?

• A graph

• An algebraic expression

• A coordinate point

• A single number

In the second example, what was the value of x after solving the system of equations?

• -9

• 9

• 8

• -8

Why is it important to check your solution in a system of equations?

• To ensure the solution satisfies all original equations

• To find additional solutions

• To practice algebraic manipulation

• To compare with graphing results

What mistake did the teacher identify in their final example?

• Incorrectly substituting values

• A simple addition error

• Forgetting to distribute a coefficient

• Misinterpreting the equation

What is the correct solution for the final example after correcting the mistake?

• (-21, -39)

• (-20, -38)

• (-21, -38)

• (-20, -39)

What resources are available for students who have questions on the practice problems?

• Email and messaging on Canvas

• In-person tutoring only

• Online forums only

• Textbooks only