SOLUTION: Hello Tutors!I have a problem that I'm stuck with here. 1) The equations of three planes are: 3x + 2y + 7z = 25 2x + y + 4z = 14 5x + 3y + 11z = 39 Solve the above sys

Question 182143: Hello Tutors!I have a problem that I'm stuck with here.
1) The equations of three planes are:
3x + 2y + 7z = 25
2x + y + 4z = 14
5x + 3y + 11z = 39
Solve the above system of equations. State whether this system is consistent or inconsistent and how many solutions are there?

Thank you for your help!!

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The equations of three planes are:
3x + 2y + 7z = 25
2x + y + 4z = 14
5x + 3y + 11z = 39
--------------
The determinant of the coefficient matrix is zero,
so the system is inconsistent. There are no solutions.
=================
Cheers
Stan H.

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