Wait — correction: the substitution \(a = 2m\), \(b = 2n\) ensures both are even, but for that, \(m, n\) must be integers such that \(2m \cdot 2n = 2024 \Rightarrow mn = 506\). So every integer solution to \(mn = 506\) gives a valid pair \((a,b) = (2m, 2n)\), and hence a valid \((x,y)\). - Veritas Home Health