Methods of solving LPP: a graphical method

You have the following linear programming problem:

$$Minimize \ z = 2x_1 + 3x_2$$

Subject to the following constraints:

$$x_1 + x_2 \ge 2 \\ x_1 - x_2 \ge 0 \\ x_1, x_2 \ge 0$$Determine the optimal values of $z, x_1$, and $x_2$.

Output format:

Suppose the value of $z=10, x_1 = 2$ and $x_2 =2$, you should write your answer as:

10 2 2