SOLUTION: Please help me solve this linear system with three variables. 2x-y+2z=-21 x+5y-z=25 -3x+2+4z=6 I had attempted to replicate the example. 6x-3y+6z=-62 -6x+4y+8z=12 y+1

Question 246351: Please help me solve this linear system with three variables.
2x-y+2z=-21
x+5y-z=25
-3x+2+4z=6
I had attempted to replicate the example.
6x-3y+6z=-62
-6x+4y+8z=12
y+14z=40
3x+5y-3z=75
-3x+2y+4z=6
17y-z=81

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
2x-y+2z=-21
x+5y-z=25
-3x+2+4z=6
I had attempted to replicate the example.
6x-3y+6z=-62 ** = -63, not -62
-6x+4y+8z=12
-------------- Add
y+14z=40 ** -51
----------------
3x+5y-3z=75 ** + 15y, not 5y
-3x+2y+4z=6
17y-z=81 --> 17y + z = 81 ** not -z
---------------
Your method is good, but you made some errors.
-------------
y + 14z = -51 --> y = -14z - 51
17y + z = 81
----------- Since y has a coeff of 1, use substitution.
17*(-14z-51) + z = 81
-237z - 867 = 81
-237z = 948
z = -4
--------
y = 5
------
Sub to find x

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