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

vxyz(v+x+y+z) = axyz + v^2xyz = bvyz + vx^2yz = cvxz + vxy^2z = dvxy + vxyz^2

v^2xyz + vx^2yz + vxy^2z + vxyz^2 = axyz + v^2xyz

vx^2yz + vxy^2z + vxyz^2 = axyz

a = vx + vy + vz

Using a similar method, you can see b = xv + xy + xz, c = yv + yx + yz, d = zv + zx + zy.