Using the Jacobi method (also known as the Gauss method), solve for \(x_{1}\) and \(x_{2}\) in the following system of equations.

\[
\begin{array}{r}
x_{2}-3 x_{1}+1.9=0 \\
x_{2}+x_{1}^{2}-1.8=0
\end{array}
\]

Use an initial guess of \(x_{1}(0)=1.0\) and \(x_{2}=(0)=1.0\). Also, see what happens when you choose an uneducated initial guess of \(x_{1}(0)=x_{2}(0)=100\).