systems analysis

What is the solution?

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

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

Find the solution to the system.
y = x-6
y = -3x + 2

• (0, -6)
• (6, 0)
• (-4, 2)
• (2, -4)

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

What is the solution for x given the graph to the systems of equations

On Monday Mr. Beignet bought 10 coffees and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of each item?

• 10c + 5d = 14.25

  5c + 10d = 16.50

• 10c + 5d = 16.50

  5c + 10d = 14.25

• c + d = 10

  5c + 10d = 16.50

• c + d = 5

  5c + 10d = 16.50

Stefan's school is selling tickets for a music department concert. On the first day of ticket sales 3 senior citizen tickets and 1 child ticket were sold for a total of $38. On the second day 3 senior citizen tickets and 2 child tickets were sold, for a total of $52. Write a system of equations that fits this scenario.

• 1s + 3c = $38

  2s + 3c = $52

• 3s + 1c = $38

  3s + 2c = $52

• s + c = $38

  s + c = $52

• 3s + 3c = $38

  1s + 2c = $52

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

• 4A + 6B = 3

  $13.50A - $13B = 6

• A + B = 4

  A - B = 6

• 4A + 6B = $13

  3A + 7B = $13.50

• 4A - 6B = $13

  3A - 7B = $13.50

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

For what mileage do the cabs cost the same?

• 8

• 3

• 5

• 2