Solving Systems by Substitution Lesson

Solve the system of equations algebraically. Verify your answer using the graph.

y = 4x – 5

y = –3

What is the solution to the system of equations?

Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a set fee per class. Stepping Up charges a monthly fee, plus an additional fee per class. What is the system of equations representing these costs?

• y = 5.5x and y = 7.5x + 10

• y = 7.5x and y = 5.5x

• y = 7.5x and y = 5.5x + 10

• y = 7.5x + 10 and y = 5.5x + 10

Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a set fee per class. Stepping Up charges a monthly fee, plus an additional fee per class. The system of equations models the total costs for each.

y = 7.5x

y = 5.5x + 10

Substitute: 7.5x = 5.5x + 10

How many classes could Anna take so that the total cost for the month would be the same?

• 5 classes

• 1.3 classes

• 10 classes

• 7.5 classes

Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a set fee per class. Stepping Up charges a monthly fee, plus an additional fee per class. The system of equations models the total costs for each.

y = 7.5x

y = 5.5x + 10

Substitute: 7.5x = 5.5x + 10

What is the total monthly cost when it is the same for both gyms?

• $75.00

• $37.50

• $65.00

Complete the statements about the system of linear equations represented by the tables.

The equation representing the left table is:

Complete the statements about the system of linear equations represented by the tables. The equation representing the right table is:

The solution to the system of equations is:

Solve the following system of equations by substitution:

y=2x-4
x+2y=10
Which of these choices is the correct first step? 

What is the first step to solving this equation:

x+2(2x-4)=10

• Distribute 2

• Subtract x

• Add 4

Which terms can be combined to solve this equation:

x+4x-8=10

• 4x and x

• 4x and 8

• x and 8