Solve Systems of Three Linear Equations

Solve the system of equations:
x + y + z = 4
x = -2y
z = -3y

• (2, -1, 3)
• (2, 3, 1)
• None of these
• (4, 1, -1)

Solve the system of equations: 

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

Solve the system of equations: 

• ( 4, 0, -2)
• ( -4, -2, 0)
• None of these
• ( -4, 0, -2)

Solve the system of equations: 

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

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
• I did not get any of the answers above so I am assuming none ofthe above.

3) Solve the system of linear equations.

• (3, 1, -5)

• (-3, 1, -1)

• no solution

• infinitely many solutions

7) Solve the system of linear equations.

• (3, -1, -4)

• (-3, 1, 4)

• no solution

• infinitely many solutions

8) Solve the system of linear equations.

• (3, -1, 1)

• (-3, -1, -1)

• no solution

• infinitely many solutions

Solve the system.

• (2, -2, 3)
• (2, 1, 4)
• (-2, 2, -3)
• No Solution

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? 

• x + y = 1550
  y  = 4x
• x + y = 1550
  y = x + 4
• y - x = 1550
  y = 4x
• y = 1550 + x
  y = x + 4