Solve Systems Equal Values

Last season two running backs on the Browns football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

• x + y = 1550

  y = 4x

• x + y = 1550

  y = x + 4

• y - x = 1550

  y = 4x

• y = 1550 + x

  y = x + 4

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

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

• 1s + 3c = 38
  2s + 3c = 52

• 3s + 1c = 38
  3s + 2c = 52

• s + c = 38
  s + c = 52

• 3s + 3c = 38
  1s + 2c = 52

• (2, 0)
• (-2, 0)
• (0, 2)
• (0, -2)

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)

Solve the following
y=3x+-22
y=2x-15

• (-7,-1)

• x=7 and y=-1

• (-1,7)

• (7,-1)

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)

Solve the following
y=-3x-9
y=2x+11

• (-4,3)

• No Solution

• x=-4 and y=3

• (-3,4)

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

What is the solution to this system?

• One Solution

• No solution

• Infinitely Many Solutions