# Algebra II

Explain, in complete sentences, which method you would use to solve the following system of equations and why you chose that method. Provide the solution to the system.
x - 3y + 2z = -12
x + 2y + 3z = 6
2x - 3y - z = -2

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1. I'd use elimination, since the coefficients are small

to eliminate x, subtract the 1st two, subtract twice #1 from #3 and we have

-5y - z = -18
-9y + 5z = -26

now eliminate y or z in the same way, and then plug the values back in to obtain the others.

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