# Solving a system in terms of intersecting planes

Tonyt88

## Homework Statement

x + 4y + z = 0
4x + 13y + 7z = 0
7x + 22y + 13z = 1

## 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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