Systems of Equestion, Please help me solve this question?

Question

Find positive integers x, y, and z such that

x+ y + z + x^2
x+ y + z + x^2 + y^2
x+ y + z + x^2 + y^2 + z^2

I am not missing anything from the problem. Thats the exact way of how it is suppose to be.

Answer 1

you need an equal sign
otherwise just make up your own numbers:
x=1=y=z
then you get
1+1+1+1 =4
1+1+1+1+1=5
1+1+1+1+1+1=6
this is not hard at all,
what do you really need?
k

Answer 2

You're missing something from your problem. Are these supposed to equal something?
Well, these are not equations. You do not have an equals sign anywhere in the problem.
You could take x = 1, y = 1, z = 1. Without more information, x, y and z could be absolutely any positive integer.

Answer 3

What problem?