Solving systems of equations rev

• 
• 
• 
• 

Solve the system

-2x + 6y = 16

-4x - 3y = 2

• (2,2)

• (-2, -2)

• (-2,2)

• (2,1)

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Solve the system by substitution.

x + 2y = 2

x = -4y + 2

• (-3, 0)
• (0, 2)
• (-3, -2)
• (2, 0)

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?
WRITE a system where T= # of $20 and F = # of $50.

• T + F = 1430
  20T + 50F = 49
• T+ F = 49
  10T + 5F = 1430 
• T + F = 49
  20T + 50F  = 1430
• T + F = 49
  T + F = 1430

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES
• NO

What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 

• 1
• -1
• 3
• 4

Solve by elimination:
4x + 4y = 4
   3x + 4y =10

• (7,-6)
• (-6,7)
• (6,7)
• (7,6)

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87
• 1.5x+0.5y=78.5
  1.5x+0.5y=87
• x+y=78.5
  1.5x+0.5y=87
• x+y=78.5
  x+y=87