ÖMO 1970 Problem 4

Find all real solutions of the following set of equations: $72x^3+4xy^2=11y^3$ $27x^5-45x^4y-10x^2y^3=\frac{-143}{32}y^5$

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.