CZ-SK-MO 2003 Problem 1

Solve the following system in the set of real numbers: $x^2 -xy+y^2 = 7$ , $x^2y+xy^2 = -2$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.