(adsbygoogle = window.adsbygoogle || []).push({}); 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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# Solving a system in terms of intersecting planes

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