Due Wednesday, November 16, 2022 at midnight submitted to this Google form. You must be logged into your NAU gmail to submit via this form.
Does the following set of equations have a solution such that $x$, $y$, $z$, and $w$ are all integers? If so, find such a solution. \begin{align*} x^2-3y+4 &=z \\ y^2 -3z +4 &= w\\ z^2 -3w +4 &= x\\ w^2 -3x+4 &= y \end{align*}