Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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?

share|improve this question
1  
What have you tried? –  lhf May 15 '12 at 11:14

1 Answer 1

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)

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

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.