Solving Systems of Equations

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

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

2x - y = 0

4x - y = 0

• (1,2)

• (0,0)

• No Solutions

• Infinite Solutions

Write the inequalities represented in the picture.

• y > -2 + x
  y ≤ 2x + 2

• y > 2 + x
  y ≤ 2x + 2

• y ≥ -2 + x
  y ≤ 2x + 2

• none of these are the system

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)

Given this system of equations, what is the solution?

• One Solution

• No solution

• Infinitely Many Solutions