If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the points where Fz ? 0, the following equations are true.
\frac{dz}{dx} = -\frac{F_x}{F_z} and \frac{dz}{dy} = -\frac{F_y}{F_z}
Use these equations to find the values of dz/dx and dz/dy at the given point
z^3 - 5xy + 5yz + 2y^3 - 155 = 0, (3, 4, 3)
\frac{dz}{dx}|_{(3,4,3)} = \boxed{} (Type an integer or a simplified fraction)
\frac{dz}{dy}|_{(3,4,3)} = \boxed{} (Type an integer or a simplified fraction)