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?
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?
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)