AnswersLA-Algebra II ASolving Linear Systems Graphically

Solving 3 x 3 Linear Systems Answers

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1
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A system of three linear equations in three variables is consistent and dependent. How many solutions to the system exist?

A
none
B
one
C
three
D
infinitely many
2
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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?

Question illustration
A
(1.00, 2.50, 3.50)
B
(1.00, 2.00, 2.90)
C
(1.50, 2.00, 2.75)
D
(1.50, 2.00, 2.00)
3

What is the solution to the following system?

Question illustration
A
x = 10, y = 2, z = 5
B
x = –4, y = 2, z = 5
C
x = 0, y = 2, z = 5
D
x = 4, y = 6, z = 5
4

Which classification describes the following system of equations?

Question illustration
A
inconsistent and dependent
B
consistent and dependent
C
consistent and independent
D
inconsistent and independent
5

Which classification describes the following system of equations?

Question illustration
A
inconsistent and dependent
B
consistent and dependent
C
consistent and independent
D
inconsistent and independent
6

What is the solution to the following system?

Question illustration
A
(3, –1, 4)
B
(4, 1, 3)
C
(4, –1, 3)
D
(3, 1, 4)
7

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

A
none
B
one
C
three
D
infinitely many
8

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

A
The system can be either inconsistent or consistent.
B
The system can be either independent or dependent.
C
The system can only be independent and consistent.
D
The system can only be dependent and inconsistent.
9

Which system is independent and inconsistent?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

What is the solution to the following system?

Question illustration
A
x = –53, y = –2, z = 7
B
x = –41, y = –2, z = –7
C
x = –11, y = –2, z = –7
D
x = 1, y = –2, z = 7

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