You can
put this solution on YOUR website! .
It depends on what is your goal in making this exercise.
If your goal is to learn the method, then do it on your own, by consulting with your textbook.
If your goal is simply to get the answer and avoid calculation routine, then
you may use the online free of charge solver
https://matrix.reshish.com/gauss-jordanElimination.php
Input the augmented matrix and press the "Solve" button.
Do you still have questions ?
Is there something that you do not understand ?