Need help with steps to the answer

Solve the following nonlinear system

3x - cos(yz) - 1/2 = 0

$\displaystyle x^2-81(y+0.1)^2 + sin z+1.06 = 0

$

$\displaystyle e^{-xy}+20z + (10\pi - 3)/3 = 0

$

$\displaystyle x^{(0)}= 0.1 y^{(0)}= 0.1 z^{(0)}= -0.1

$