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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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closed as off-topic by Mice Elf, Adam Hughes, Harish Chandra Rajpoot, Hurkyl, Solid Snake Oct 5 '15 at 5:51

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up vote 9 down vote accepted

Hint: What will you get after you add all equations, and simplify the left side? (x+y+z+u+v= ?)

From that, can you find x,y,z,u,v?

Another way (more general) is using linear algebra (it's a standard exercise in any linear algebra course)

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Thanks!! I've solved it. v=-2; x= 2; y= 1; z= 3; u= -1; – DrStrangeLove May 15 '12 at 18:26

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