SOLUTION: 2x-y+z=10 4x+2y-3z=10 x-3y+2z=8

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Question 173899This question is from textbook algebra 2 with trigonometry
: 2x-y+z=10
4x+2y-3z=10
x-3y+2z=8
This question is from textbook algebra 2 with trigonometry

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
2x-y+z=10
4x+2y-3z=10
x-3y+2z=8
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|2 -1 +1 10|
|4 +2 -3 10| = 0
|1 -3 +2 8|
DET = 2*(4-9)+(8+3)+(-12-2)
DET = -10+11-14
DET = -13
-----------
x*DET = -1*(-24-20)-(16+30)-10*(-4+9)
x*DET = 44-46-50 = -52
x = 4
----------
-y*DET = 2*(-24-20)-(32-10) -10*(-8-3)
-y*DET = -88 - 22 + 110
y = 0
------------
z*DET = 2*(16+30)+(32-10)-10*(12+2)
z*DET = 92 + 22 - 140
z = 2
---------

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