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Solving a system in terms of intersecting planes 
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#1
Feb507, 08:41 PM

P: 62

1. The problem statement, all variables and given/known data
x + 4y + z = 0 4x + 13y + 7z = 0 7x + 22y + 13z = 1 2. Relevant equations 3. The attempt at a solution x + 4y + z = 0  3y + 3z = 0 6y + 6z = 1 x + 4y + z = 0 y + z = 0 6y + 6z = 1 Then whichever way I solve it I have 0=1 or 0=1/6, so where to go from here or is there just no solution? 


#2
Feb607, 05:35 AM

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P: 39,533

First of all, the problem statement is NOT just
x + 4y + z = 0 4x + 13y + 7z = 0 7x + 22y + 13z = 1 That's not a "problem", that's a system of equations. What are asked to do with them? 


#3
Feb607, 12:56 PM

P: 62

Sorry I had only put it in the title of the thread.
Find all solutions of the linear system. Describe your solution in terms of intersecting planes. 


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