SOLUTION: use Gaussian elimination to find the complete to each system of equations, or show that non exists 3x+4y+2z=3 4x-2y-8z=-4 x+y-z=3

Algebra ->  Matrices-and-determiminant -> SOLUTION: use Gaussian elimination to find the complete to each system of equations, or show that non exists 3x+4y+2z=3 4x-2y-8z=-4 x+y-z=3      Log On


   

Question 814713: use Gaussian elimination to find the complete to each system of equations, or show that non exists
3x+4y+2z=3
4x-2y-8z=-4
x+y-z=3
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

3x+4y+2z=3  |Multiplying thru by 4, Adding EQs

4x-2y-8z=-4

16x+14y = 8   0r 8x + 7y = 4



3x+4y+2z=3 

 x +y -z=3

5x+6y = 9



5x + 6y = 9 (-7)

8x + 7y = 4 (6)

13x = 39,  x = -3  and y = 4  y+=+%28-5%2F6%29x+%2B+9%2F6+=+15%2F6+%2B+9%2F6+=+4

and z = (x+y-3) = -2