Answer:
(x, y, z) = (3, -2, 2)
Step-by-step explanation:
The augmented matrix for this set of equations is ...
[tex]\left[\begin{array}{ccc|c}1&3&2&1\\2&-2&-5&0\\-1&2&4&1\end{array}\right][/tex]
Using your calculator or any of a number of web sites, you can find the reduced row-echelon form to be ...
[tex]\left[\begin{array}{ccc|c}1&0&0&3\\0&1&0&-2\\0&0&1&2\end{array}\right][/tex]
This tells you the solution is (x, y, z) = (3, -2, 2).
