Systems of Equations Equal Values Method

Use the equal values method to determine the solution to the system of equations.
y=8x+1
y=6x+3

• (1, 9)
• (4, 14)
• (0, 1)
• (2, 4)

Use the equal values method to determine the solution to the system of equations.
y = 4x + 3
y = 4x - 1

• (1,3)
• (-1,-3)
• no solution
• (3,1)

Use the equal values method to determine the solution to the system of equations.
y = 4x - 10
y = 3x - 5

• (7 , -15)
• (1, -5)
• (5 , 10)
• (1, 2)

What is the solution to this system?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Playland Park charges $7 admission plus 75¢ per ride. Funland Park charges $12.50 admission plus 50¢ per ride. For what number of rides is the total cost the same at both parks?

• 22 rides

• 18 rides

• 24 rides

• 20 rides

PhotosFast charges a fee of $2.50 plus $0.05 for each picture developed. PhotosQuick charges a fee of $3.70 plus $0.03 for each picture developed. For how many pictures will the total cost be the same at each shop?

• 60 pictures

• 58 pictures

• 50 pictures

• 40 pictures

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 

• y = 6.80 + .65x
  y=7.30+.90x
• x + y = 6.80
  x + y = 7.30
• y = 6.80+.90x
  y = 7.30 + .65x
• y + .90x = 6.80
  y + .65x = 7.30

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54
  t = 3n + 8
• t + n = 54
  n = 3t + 8
• t + n = 54
  t = 3n - 8
• t + n = 8
  t = 3n + 54

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 

• y = 9.65 + x
  y = 8.40 + x
• y = 9.65x + 43
  y = 8.40x + 58
• y =9.65x
  y = 8.40x
• y = 9.65x - 43
  y = 8.40x - 58

This system has _____ solutions

• no
• 1
• 2
• Infinitely many