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Solving a system in terms of intersecting planes

by Tonyt88
Tags: intersecting, planes, solving, terms
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Tonyt88
#1
Feb5-07, 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?
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HallsofIvy
#2
Feb6-07, 05:35 AM
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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?
Tonyt88
#3
Feb6-07, 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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