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Solving 3 x 3 Linear Systems

Question 1 • OK-Algebra II A

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 solution(s) to the system shown.

Answer
A
one of many
B
not a
C
the only
D
never

Explanation

Substituting (3, 3, −2) into the three equations gives 4, 8, and −1, so it is a solution. The coefficient matrix has determinant −25, which is nonzero, so the system has a unique solution. Therefore, (3, 3, −2) is the only solution.

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