Question Number 171809 by Mikenice last updated on 23/Jun/22
$${solve}\:{for}\:{x}\:{and}\:{y}: \\ $$$${x}^{\mathrm{3}} +\mathrm{12}{xy}^{\mathrm{2}} =\mathrm{679} \\ $$$$\mathrm{9}{x}^{\mathrm{2}} {y}+\mathrm{12}{y}^{\mathrm{3}} =\mathrm{978}. \\ $$