SOLUTION: The system below has how many solutions. 2x-y+4z=-5 x+2y-z=6 x+y+z=1 My answer is infinite, but I'm not sure. thanks so much for checking.

Question 46066This question is from textbook Finite math
: The system below has how many solutions.
2x-y+4z=-5
x+2y-z=6
x+y+z=1
My answer is infinite, but I'm not sure. thanks so much for checking. This question is from textbook Finite math

Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
The system below has how many solutions.
2x-y+4z=-5..............I
x+2y-z=6...............II
x+y+z=1..................III
EQN.II-EQN.III
Y-2Z=5......................IV
2*EQN.III-EQN.I
3Y-2Z=7........................V
EQN.V-EQN.IV
2Y=2
Y=1
1-2Z=5....OR.....2Z=1-5=-4
Z=-2
X+1-2=1
X=2
IT HAS UNIQUE SOLUTION WITH X=2,Y=1,Z=-2
IF THE EQNS.ARE DEPENDENT AND CONSISTENT YOU WILL GET INFINITE SOLUTION.

My answer is infinite, but I'm not sure. thanks so much for checking.
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