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## Homework Statement

x + 4y + z = 0

4x + 13y + 7z = 0

7x + 22y + 13z = 1

## Homework Equations

## 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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