SOLUTION: Whats the complete solution for this linear system? y − 4z = 0 4x + 2y = 12 −x − 2y + 6z = −3

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Question 958841: Whats the complete solution for this linear system?
y − 4z = 0
4x + 2y = 12
−x − 2y + 6z = −3

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.y-4z=0
2.4x+%2B+2y+=+12
3.-x-2y%2B6z=-3
From 1,
y=4z
z=y%2F4
Substitute into eq. 3,
-x-2y%2B6%28y%2F4%29=-3
-2x-4y%2B3y=-3
4.-2x-y=-3
From eq. 2,
5.2x%2By=12
Adding 4 and 5,
-2x-y%2B2x=y=-3%2B12
0=9
False, the system is inconsistent.
There is no solution.