Math problem

Hay guys how do I solve for this? a,b,c,d are constants and I have to solve for v,x,y,z.

v (x + y + z) = a
x (v + y + z) = b
y (v + x + z) = c
z (v + x + y) = d

Just make a matrix. Reduce to row echelon form. and then solve simultaneously. easy? I think so.