Answers NC-Math 2Solving Linear Systems by Substitution

Solving 3 x 3 Linear Systems Answers

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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)

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What is the solution to the following system?

x = 0, y = 1, z = 2

x = 1, y = –1, z = 2

x = 1, y = 0, z = –1

x = 2, y = 1, z = 0

What is the solution to the following system?

x = –53, y = –2, z = 7

x = –41, y = –2, z = –7

x = –11, y = –2, z = –7

x = 1, y = –2, z = 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?

The system can be either inconsistent or consistent.

The system can be either independent or dependent.

The system can only be independent and consistent.

The system can only be dependent and inconsistent.

What is the solution to the following system?

x = 10, y = 2, z = 5

x = –4, y = 2, z = 5

x = 0, y = 2, z = 5

x = 4, y = 6, z = 5

What is the solution to the following system?

(3, –1, 4)

(4, 1, 3)

(4, –1, 3)

(3, 1, 4)

What is the solution to the following system?

(8, 40, 32)

(10, 2, 3)

(20, 4, 5)

(40, 8, 10)

What is the solution to the following system?

(3, 1, 0)

(0, 1, 0)

(2, 1, 0)

(–2, 1, 0)

Which classification describes the following system of equations?

inconsistent and dependent

consistent and dependent

consistent and independent

inconsistent and independent

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

none

one

three

infinitely many

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Solving 3 x 3 Linear Systems Answers

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