AnswersAlgebra 2 - Semester 1 PathwaysSolving 3 x 3 Linear Systems

Solving 3 x 3 Linear Systems Answers

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1
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x - y - 2z = 4-x + 3y - z = 8-2x - y - 4z = -1 Given that (3, 3, –2) is a solution to the given system, the point is one of manynot athe onlynever solution(s) to the system shown.

A
one of many
B
not a
C
the only
D
never
2
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Given that (3, 3, –2) is a solution to the given system, which of the following statements are possibly true of the system?Check all of the boxes that apply.

A
The three planes represented by the equations in the system are parallel.
B
The system is consistent.
C
The system is inconsistent.
D
The system is independent.
3

Now use equation [___] with equation (2) or equation (3) to eliminate [___].

A
a
B
r
C
p
4

What is the resulting equation?

A
4r + 5p = 42.50
B
2r + 3p = 15.50
C
2r + 3p = 42.50
5

Now use equation [___] with equation (2) or equation (3) to eliminate [___].

A
(1)
B
(2)
C
(3)

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