Solving 3 x 3 Linear Systems

The cost for three packages of moving boxes is modeled by the system of equations below. Let s represent small boxes, m represent medium boxes, and l represent large boxes. Which ordered pair (s, m, l) represents the costs of the three boxes? 7s+4m=2l=24 5s+3m+6l=20 3s+7m+10l+46

(1.50, 2.00, 2.75)

What is the solution to the following system? 3x+3y+6z=9 x+3y+2z=5 3x+12y+12z=18

(2, 1, 0)

What is the solution to the following system? 3x+10y-12z=40 x-5y=0 x-4z=0

Not: (10, 2, 3)

Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?

Not: The system can only be independent and consistent.

Which classification best describes the following system of equations? 12x+5y-3z=36 x-2y+4z=3 9x-10y+5z=27

Not: consistent and dependent

Which classification best describes the following system of equations? x=5 y=6 -x-y+z=0

Not: consistent and dependent

What is the solution to the following system? 5x+2y+z=4 x+2z=4 2x+y-z=-1

Not: x = 1, y = -1, z = 2

A system of three linear equations in three variables is consistent and dependent. How many solutions to the system exist?

infinite

A system of three linear equations in three variables is consistent and independent. How many solutions to the system exist?

one

What is the solution to the following system? x+2y+z=9 x-y+3z=13 2z=10

x = 0, y = 2, z = 5

What is the solution to the following system? -4y=8 x+3y-3z=-26 2x-5y+z=19

x = 1, y = -2, z = 7