SOLUTION: Solve the system, if possible. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) 2x + 2y + 3z = 20 3x + y

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Question 827550: Solve the system, if possible. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.)
2x + 2y + 3z = 20
3x + y - z = 0
x + y + 2z = 12
Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website!
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2x + 2y + 3z = 20
3x + y - z = 0
x + y + 2z = 12
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copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = 0
y = 4
z = 4
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the system is INDEPENDENT.
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system matrix
2 2 3
3 1 -1
1 1 2
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inverse of system matrix
-1.5 0.5 2.5
3.5 -0.5 -5.5
-1 0 2
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determinant of system matrix = -2
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Solve systems of linear equations up to 6-equations 6-variables:
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SOLUTION: Solve the system, if possible. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) 2x + 2y + 3z = 20 3x + y - z = 0 x + y + 2z =