SOLUTION: What is the solution to the system of equations shown below 2x-y+3z=8 x-6y-z=0 -6x+3y-9z=24 A) (0,4,4) B) (1,4,10/3) C) no solution D) infinitely many solu

Algebra ->  Equations -> SOLUTION: What is the solution to the system of equations shown below 2x-y+3z=8 x-6y-z=0 -6x+3y-9z=24 A) (0,4,4) B) (1,4,10/3) C) no solution D) infinitely many solu      Log On


   

Question 896511: What is the solution to the system of equations shown below
2x-y+3z=8
x-6y-z=0
-6x+3y-9z=24
A) (0,4,4)
B) (1,4,10/3)
C) no solution
D) infinitely many solutions
if possible show every step. Thanks

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
row 1 is a multiple of row 3
no solution
1) 2x-y+3z=8
multiply by -3
-6x+3y-9z=-24
notice -24 instead of 24
The lines are parallel but not identical
3) -6x+3y-9z=24
which would produce a determinant of 0