Systems of Linear Equations in Three Variables

How do you normally start solving such a system of equations? Probably with eliminating a varibale in the second and third equation. Which variable would be a good start to eliminate? How would you actually eliminate this variable?
 
x+y+4z=-8
x+y+8z=-20
x-5y+3z=-11
What method(s) have they given you for solving systems of linear equations (row operations? matrix inversion? Cramer's Rule)? Which method(s) did the instructions specify, if any? Which method have you attempted to apply?

Please be complete. Thank you! ;)
 
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