SOLUTION: solve this equations. Write the solution as an ordered triple 5x + 3y + z =23 x - 3y + 2z =10 14x - 2y + 2z =85

Algebra ->  College  -> Linear Algebra -> SOLUTION: solve this equations. Write the solution as an ordered triple 5x + 3y + z =23 x - 3y + 2z =10 14x - 2y + 2z =85      Log On


   



Question 149071: solve this equations. Write the solution as an ordered triple
5x + 3y + z =23
x - 3y + 2z =10
14x - 2y + 2z =85

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
solve this equations. Write the solution as an ordered triple
 5x + 3y +  z = 23
  x - 3y + 2z = 10
14x - 2y + 2z = 85

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%2F12, -23%2F12, -5%2F6%29)

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

Edwin