Solving System of Equations by Graphing

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

Last season two running backs on the Steelers 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?

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

What is the solution to this system of equations?

• (4, -1)

• (-1, 4)

• (-4, 1)

• (-4, -1)

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

What is the solution to this system? 

• (3,1)

• No solution

• Infinite solutions

• (1,3)

The solution to this system of equations is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

What is the solution to a systems of equations? 

• The point or points where they intersect

• What the lines have in common

• Either a single point, infinite number of points or no points

• ALL OF THE ABOVE 

Is (-2,4) a solution to the system?

• Solution

• Not a solution

Which of the following is NOT a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)