Question

Система уравнений xy-x=24;xy-y=25

Answer 1

$xy - x = 24 \\ xy - y= 25 \\ \\ - y + x = 1 \\ x = 1 + y \\ \\ (1 + y)y - y = 25 \\ y + {y}^{2} - y = 25 \\ y = 5 \: \: \: \: x = 1 + 5 = 6 \\ y = - 5 \: \: \: \: x = 1 - 5 = - 4$