I think the way to go for this problem is to substitute in a few values in terms of other variables.
I multiplied equations 1 and 2 to get x2y5zxz=720.
Thus, xy5=720.
Not quite sure what to do from here, maybe you can give it a go Guest! (try substituting in variables in terms of other variables, and try plugging it into the expression)
Good luck :D!