# How would you solve this system of equations?

I have this system of equations:

\left\{\begin{align*} &x+y+z+u=5\\ &y+z+u+v = 1\\ &z+u+v+x = 2\\ &u+v+x+y = 0\\ &v+x+y+z = 4 \end{align*}\right.

How do I solve this system?

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What have you tried? –  lhf May 15 '12 at 11:14