Question 149071
 solve this equations. Write the solution as an ordered triple 
<pre>
 5x + 3y +  z = 23
  x - 3y + 2z = 10
14x - 2y + 2z = 85
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Below is the answer.  I didn't show you how because
there are at least 5 different ways to solve such systems 
of equations.

1. Elimination by addition, subtraction, and substitution.
2. Determinants (Cramer's tule)
3. Gaussian elimination with back-substitution (matrices)
4. Row reduced echelon form (matrix)
5. AX=B (inverse matrix method).

Post again telling which method you are studying and we'll
show you how to do it by whatever method that is.

Answer:  (x, y, z) = ({{{71/12}}}, {{{-23/12}}}, {{{-5/6)}}})

That's an ugly answer but it's correct for what you typed above.
Be sure you typed it correctly.

Edwin</pre>