+0  
 
0
70
1
avatar+274 

Find the number of ordered triples \((a,b,c)\) such that \(\begin{align*} a &= bc + 2, \\ b &= ac + 2, \\ c &= ab + 2. \end{align*}\)

 May 20, 2023
 #1
avatar
0

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

 May 20, 2023

4 Online Users

avatar
avatar
avatar