Texan Time 3 Linear Systems

Solve the system.

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

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

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

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

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

A local grocery store makes a 9-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate-covered peanuts. The raisins costs $2 per pound, sunflower seeds cost $1 per pound, and chocolate-covered peanuts cost $1.50 per pound. The total cost for the mixture is $14.50. Set up the system of equations using the following:

x: raisins
y: sunflower seeds
z: chocolate-covered peanuts

Solve the system of equations: 

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

what is the value of y in the system

• y=3
• y=-1
• y=-4
• y=2

find the value of a 

• a=-5
• a=4
• a=5
• a=-4

An MLB stadium sells three types of tickets. Reserved tickets are sold for $20 each, field level tickets are sold for $50 each, and box seat tickets are sold for $100 each. You purchase 10 total tickets for $370. You have twice as many reserved tickets as field level tickets. Set up the system using the variables

x: reserved

y: field-level

z: box seats