Systems Matrix

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system using matrices:

x + y = 21

6x + 4y = 104

• (10, 11)

• (12, 9)

• (11, 10)

• (9, 12)

Solve: (round to nearest hundredth)

2x + 5y = 55

9x - 2y = 3

• (2.56, 9.97)

• (14.68, 12.75)

• (2.55, 9.98)

• (12.75, 14.86)

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. Using matrices, what would be your solution as to how many nachos and soda he sold?

• (35, 52)

• (18, 69)

• ( 52, 35)

• (61, 26)

On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket using matrices on your calculator.

• Adult $13

  Child $5

• Adult $10

  Child $6

• Adult $8

  Child $16

• Adult $12

  Child $13

Solve the following on your calculator:

(Round to nearest hundredth)

5x + 95y = 283

187x - 2y = 396

• (2.2, 2.9)

• (2.18, 2.85)

• (2.14, 2.86)

• (2.15, 2.87)

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

Write the system using matrices:

-3x + 5y = 25

2x - 10y = -7

• 
• 
• 

In Matrix R (pictured) what element is in the second row, third column?

• 8

• 9.01

• 6

• 1

Write the system using matrices on your paper. Then solve on you calculator using inverse matrices.

• A

• B

• C

• D