mentioned separately? It's not obvious what this equation is doing.x + y + z = 1,
In general, I would probably write this system up as a matrix (you have a homogeneous system, so no need to think about an augmented system) thus:x = 1 - y - z
-10(1 - y - z) + 30y + 10z = 0
-10 + 10y + 10z + 30y + 10z = 0
-10 + 40y + 20z = 0
40y = -20z + 10
8y = -4x + 2
5(1 - y - z) - 40y + 5z = 0
5 -5y - 5z - 40y + 5z = 0
5 - 45y = 0 ??????
and then start doing elementary row operations on it. You follow?