AnswersTX-Algebra II ASolving Linear Systems Graphically

Solving 3 x 3 Linear Systems Answers

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1
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What is the solution to the following system?

Question illustration
A
(3, 1, 0)
B
(0, 1, 0)
C
(2, 1, 0)
D
(–2, 1, 0)
2
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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)
3

What is the solution to the following system?

Question illustration
A
(8, 40, 32)
B
(10, 2, 3)
C
(20, 4, 5)
D
(40, 8, 10)
4

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
5

Which system is independent and inconsistent?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

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
7

What is the solution to the following system?

Question illustration
A
x = 0, y = 1, z = 2
B
x = 1, y = –1, z = 2
C
x = 1, y = 0, z = –1
D
x = 2, y = 1, z = 0
8

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

A
none
B
one
C
three
D
infinitely many
9

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?

Question illustration
A
apples: $2.00/lb, bananas: $0.50/lb, and oranges: $3.00
B
apples: $2.00, bananas: $1.50/lb, and oranges: $3.00/lb
C
apples: $2.50/lb, bananas $0.25/lb, and oranges: $3.00/lb
D
apples: $2.50, bananas: $0.75, oranges: 3.00/lb
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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