SOLUTION: How do u find order triple solution from these; 5x-y+z=24 4x+2y-3z=3 x-3y+2z=11

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Question 398418: How do u find order triple solution from these; 5x-y+z=24
4x+2y-3z=3
x-3y+2z=11

Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I use determinants.
I have an Excel sheet that does them, but I don't have it here.
There are online solvers, too.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
D=%28matrix%283%2C3%2Ca1%2Cb1%2Cc1%2Ca2%2Cb2%2Cc2%2Ca3%2Cb3%2Cc3%29%29 = %28matrix%283%2C3%2C5%2C-1%2C1%2C4%2C2%2C-3%2C1%2C-3%2C-2%29%29 = -28
D%5Bx%5D=%28matrix%283%2C3%2C24%2C-1%2C1%2C3%2C2%2C-3%2C11%2C-3%2C-2%29%29 = -112 x = -112/-28 = 4
D%5By%5D=%28matrix%283%2C3%2C5%2C24%2C1%2C4%2C3%2C-3%2C1%2C11%2C-2%29%29 = -28 y = -28/-28 = 1
D%5Bz%5D+=+%28matrix%283%2C3%2C5%2C-1%2C24%2C4%2C2%2C3%2C1%2C-3%2C11%29%29 = -140 z = -140/-28 = 5