Solving 3 x 3 Linear Systems

Question 1

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?

Revolt · Accepted Answer

(1.50, 2.00, 2.75)

Question 2

Which classification describes the following system of equations?

Revolt · Accepted Answer

consistent and independent

Question 3

What is the solution to the following system?

Revolt · Accepted Answer

x = 1, y = –2, z = 7

Question 4

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

Revolt · Accepted Answer

infinitely many

Question 5

Which classification describes the following system of equations?

Revolt · Accepted Answer

consistent and independent

Question 6

What is the solution to the following system?

Revolt · Accepted Answer

x = 0, y = 1, z = 2

Question 7

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

Revolt · Accepted Answer

The system can be either independent or dependent.

Question 8

Which system is independent and inconsistent?

Revolt · Accepted Answer

mc010-4.jpg

Question 9

What is the solution to the following system?

Revolt · Accepted Answer

(4, –1, 3)

Question 10

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

Revolt · Accepted Answer

one

Solving 3 x 3 Linear Systems Answers

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