Solving Systems of Equations Using Matrices

Solve the system of equations: 

• ( -2, 4, 3)
• ( 2, 1, 6)
• No solution
• None of these

Solve the system of equations: 

• ( -2, 3, -3)
• None of these
• ( -2, -3, 3)
• ( -3, 3, -2)

The school that Laura goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets, 2 adult tickets and 5 child tickets for a total of $55. The school took in $67 on the second day by selling 7 senior citizen tickets, 2 adult tickets and 5 child tickets. On the third day the show earned $46 when they sold 2 senior citizen tickets, 4 adult tickets and 2 child tickets. What is the price each of one senior citizen ticket, one adult ticket and one child ticket?

• Adult: $12

  Child: $8

  Senior: $8

• Adult: $6

  Child: $4

  Senior: $5

• Adult: $7

  Child: $5

  Senior: $4

• None of the above.

Solve the system of equations: 

• ( 5, 1, -4)
• (-5, 3, -1)
• None of these
• ( -1, 5, -4)

3) Solve the system of linear equations.

• (3, 1, -5)

• (-3, 1, -1)

• no solution

• infinitely many solutions

• (2, 4, 5)

• (-2,-4, 5)

• (-2, 4, -4)

• None of these

Uncle Freddy rented a total of 12 movies and games. A movie rents for $3 and a game rents for $4.50, for a total of $42. There are 3 times as many movies than games. Which system models this scenario?

• 3M + 4.50G = 42

  M + G = 12

  M = 3G

• 3M + 4.50G = 12

  M + G = 42

  3M = G

• M + G = 12

  4.50M + 3G = 42

  3M = G

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. How many of each type of ticket were sold?

• 10 adults, 11 children
• 12 adults , 9 children
• 11 adults, 10 children
• 9 adults, 12 children

• A
• B
• C
• D

Solve the system given:
3x - y = 7
2x + y = 3

• (-1,2)
• (5,4)
• (4,5)
• (2,-1)