Find the number of ordered triples \((a,b,c)\) such that \(\begin{align*} a &= bc + 2, \\ b &= ac + 2, \\ c &= ab + 2. \end{align*}\)
By simple inspection
a = -1 and b = -1 and c = 3 a = -1 and b = 3 and c = -1 a = 3 and b = -1 and c = -1
+274 
