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April 19, 2014

Homework Help: Algebra

Posted by Anneliese on Wednesday, February 25, 2009 at 5:19pm.

Find all solutions to the following system of equations:

x + 3y + 2z = 6
-3x + y + 5z = 29
-2x - 3y + z = 14

This just did not work out for me. Here is my work:

I first solved Equation #1 for x.

x = -3y - 2z + 6

Then, I did substitution, and replaced x for -3y - 2z + 6 in equations #2 and 3.

-3(-3y - 2z +6) + y + 5z = 29
-2(-3y - 2z +6) - 3y + z = 14

That is the same as:

10y + 11z = 47
and
3y + 5z = 26

Would elimination be the next step?

Thanks, Liese

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