Problem
ALG-B1-M12-P009 Variant 3, Problem 1
#9
★★★☆☆ Level 3 of 5
Solve \(x+y+xy=11\), \(x^2+y^2=13\).
Let \(s=x+y\), \(p=xy\).
\(s+p=11\), \(s^2-2p=13\). We get \(s=5\), \(p=6\). Answer: \((2,3),(3,2)\).
Mock olympiad problem. Tags: substitution, system.