Compute the first three Gauss-Seidel iterations of the system

$$\begin{array}{rcrcr}-2 x_1 & + & x_{2} & = & 5 \\-3 x_1 & - & 5 x_{2} & = & -12\end{array}$$

using 0 as the initial value for each variable. Then find the exact solution and compare.

Gauss-Seidel Iteration:

$n$	$x_1$	$x_2$
$0$	$0$	$0$
$1$
$2$
$3$

Actual solution: $(x_1,x_2) =$

Help: To enter a solution $(a,b)$, type your answer as a point (a,b).