Solving 3x3 Linear Systems Quiz

Which classification describes the following system of equations? 5x+10y+15z=60 inconsistent and dependent consistent and dependent consistent and independent inconsistent and independent

NOT a. inconsistent and dependent

A system of three linear equations in three variables is inconsistent. How many solutions to the system exist? none one three infinitely many

NOT d. infinitely many

Several customers order small fruit baskets filled with apples, bananas, and oranges. Let a represent the price per pound of apples, b represent the price per pound of bananas, and c represent the price per pound of oranges. The system represents the number of pounds of each type of fruit and the total price of each fruit basket. How much per pound does each type of fruit cost? apples: $2.00/lb, bananas: $0.50/lb, and oranges: $3.00 apples: $2.00, bananas: $1.50/lb, and oranges: $3.00/lb apples: $2.50/lb, bananas $0.25/lb, and oranges: $3.00/lb apples: $2.50, bananas: $0.75, oranges: 3.00/lb

a. apples: $2.00/lb, bananas: $0.50/lb, and oranges: $3.00

What is the solution to the following system?5x+2y+z=4x+2z=42x+y-z=-1

a. x = 0, y = 1, z = 2

The cost for three packages of moving boxes is modeled by the system of equations below. Let s represents the cost of each small box, m represents the cost of each medium box, and l represents the cost of each large box. Which ordered triple (s, m, l) represents the costs of the three boxes? (1.00, 2.50, 3.50) (1.00, 2.00, 2.90) (1.50, 2.00, 2.75) (1.50, 2.00, 2.00)

c. (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 (3, 1, 0) (0, 1, 0) (2, 1, 0) (-2, 1, 0)

c. (2,1,0)

What is the solution to the following system? x+y+z=6 x-y+z=8 x+y-z=0 (3, -1, 4) (4, 1, 3) (4, -1, 3) (3, 1, 4)

c. (4,-1,3)

Which classification describes the following system of equations? 12x+5y-3z=36 inconsistent and dependent consistent and dependent consistent and independent inconsistent and independent

c. consistent and independent

What is the solution to the following system?x+2y+z=9x-y+3z=132z=10

c. x= 0, y = 2, z = 5

What is the solution to the following system?-4y=8x+3y-3z=-262x-5y+z=19

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