9/18 Systems of Three Equations

Last Tuesday, Regal Cinemas sold a total of 8500 movie tickets. Proceeds totaled $64,600. Tickets can be bought in one of 3 ways: a matinee admission costs $5, student admission is $6 all day, and regular admissions are $8.50. How many of each type of ticket was sold if twice as many student tickets were sold as matinee tickets?

(a)  

Solve the system

• (5, 2, 5)
• (4, 2, -1)
• (5, -1, 1)
• (2, -1, 1)

Solve the system

• (-3, 6, 6)
• (1, 1, 1)
• (-2, 6, 5)
• (-1, 2, 6)

Solve the system

• (-1, 1, -6)
• (-2, 1, 5)
• (-2, 2, -6)
• (1, 2, 3)

Solve the system.

• (3, -2, 4)
• (2, -3, 1)
• (-3, 2, -1)
• Infinitely many solutions

Solve the system.

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

Solve the system. 

• (5, -6, 3)
• (2, 3, -1)
• (-4, 2, 5)
• No Solution

Determine which ordered triple is a solution of the systems of equations?
2x + y = 0
x - z = -11 - 3y
7x + 5y = 21 - 4z

• (0,0,11)
• (1,-2,6)
• (-1,2,-16
• (0,1,-14)

Solve the system of equations.
x - 3y - 13 = 0
5x + 6z=41
2x + 4y - z = 5

• (7,-2,1)
• (13,0,-4)
• (10,-1,11)
• (1,-4,6)

Solve the system of equations: 

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