SOLUTION: The following matrix is obtained from a system of equations 1 0 6 5 0 1 -4 3 0 0 2 -6 The solution to the system is My answer is no solution after using Excel. thanks for loo

Algebra ->  Matrices-and-determiminant -> SOLUTION: The following matrix is obtained from a system of equations 1 0 6 5 0 1 -4 3 0 0 2 -6 The solution to the system is My answer is no solution after using Excel. thanks for loo      Log On


   



Question 46526This question is from textbook Finite Mathematics
: The following matrix is obtained from a system of equations
1 0 6 5
0 1 -4 3
0 0 2 -6 The solution to the system is
My answer is no solution after using Excel. thanks for looking at this problem.
This question is from textbook Finite Mathematics

Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
The following matrix is obtained from a system of 
equations
1 0  6  5
0 1 -4  3
0 0  2 -6 The solution to the system is 
My answer is no solution after using Excel. 
thanks for looking at this problem.

No, there is a solution. 

[1 0  6  5]
[0 1 -4  3]
[0 0  2 -6]

is the matrix for the system

1x + 0y + 6z =  5
0x + 1y - 4z =  3
0x + 0y + 2z = -6 

or

 x      + 6z =  5
      y - 4z =  3
          2z = -6 


Solve the bottom equation for z
     
          2z = -6
           z = -3

Substitute -3 for z in the middle equation

      y - 4z = 3
   y - 4(-3) = 3 
      y + 12 = 3
           y = -9

Substitute in the first equation:

      x + 6z =  5
   x + 6(-3) = 5
      x - 18 = 5
           x = 23

The solution is (x, y, z) = (23, -9, -3) 

Edwin