SOLUTION: What is the numerical value for the determinant used to solve for x in the equation 2x+y=5 x+2z=4 2y+z=3

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Question 937278: What is the numerical value for the determinant used to solve for x in the equation
2x+y=5
x+2z=4
2y+z=3

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
2x+y=5
x+2z=4
2y+z=3
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put the system of linear equations into standard form
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2x+y=5
x+2z=4
2y+z=3
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = 2
y = 1
z = 1
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system matrix
2 1 0
1 0 2
0 2 1
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inverse of system matrix
0.44444444 0.11111111 -0.22222222
0.11111111 -0.22222222 0.44444444
-0.22222222 0.44444444 0.11111111
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determinant of system matrix = -9
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