Elimination always bothers me with systems of equations with three or more variables. I would go with Cramer's Rule, but I guess that is against the point of the question. What you are going to do for elimination is pair up two out of the three equations and do an elimination making two variables stay. Then do the same for another pair of the three equations. Make sure that the variables in each of these two variable equations are the same. Now you can solve a normal linear system, and you will have two out of the three variables. Do you understand or would you like me to show you?