If $\sin(-3x + 1y + z) = 0$, use implicit differentiation to find the first partial derivatives $\frac{\partial z}{\partial x}$ and $\frac{\partial z}{\partial y}$ at the point (0, 0, 0).

A. $\frac{\partial z}{\partial x}(0, 0, 0) =$

B. $\frac{\partial z}{\partial y}(0, 0, 0) =$