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## Homework Statement

x + y+ z = 0

3x + 2y -2z = 0

4x + 3y -z = 0

6x + 5y + z = 0

## Homework Equations

## The Attempt at a Solution

I put the equations into a matrix and reduced to RREF. This is what I end up with:

x - 4z = 0

y + 5z = 0

The other two rows in the matrix are all zeroes.

I've never solved a system that had more equations than unknowns, so I'm confused on how many free variables I will need. Right now I have this as my solution:

x = 4t

y = -5t

z = t