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Question 220249: Solving using matrices:
3x+5y+2z=3
-x-y-z=-2
2x-2y+5z=11
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! 3x+5y+2z=3
-x-y-z=-2
2x-2y+5z=11
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Det:
3(-5-2) -5(-5+2) + 2(2+2) = -21 + 15 + 8
Det = 2
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x:
5(-11+10) - 2(-11-4) + 3(-5-2) = -5 + 30 - 21 = 4
x = 4/Det = 4/2
x = 2
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-y:
3(-11+10) -2(-11+4) +3(-5+2) = -3 +14 -9 = 2
y = -1
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z:
3(-11-4) -5(-11+4) + 3(2+2) = -45 +35 +12 = 2
z = 1
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3x+5y+2z=3 --> 6 - 5 + 2 = 3
-x-y-z=-2 ---> -2 + 1 - 1 = -2
2x-2y+5z=11 --> 4 + 2 + 5 = 11
It checks
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