Dear Mathematical community,
(x^2)yz+3y-z = 31
(x^2)+(y^2)-z = 11
3xy+zy = 24
I've been working with this problem for the last week or so and it seems every way I approach the problem it becomes over complicated. I've tried every last elimination and substitution method I know along with using inverse matrices. So any help, or constructive comments would be much appreciated.
P.S. I know the real integer solutions to this problem, the real issue is I don't know how to algebraically arrive at said solutions.