# 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

Algebra ->  Algebra  -> College  -> Linear Algebra -> 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      Log On

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 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(30982)   (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