Question

Решите в целых числах уравнение xy−2x+3y=10.

Answer 1

$x y - 2 x + 3y = 10\\y (x + 3) = 2 x + 10\\y = \frac{2 x + 10}{x + 3} \\y = \frac{2 (x + 3) + 4}{x + 3} \\y = 2 + \frac{4}{x + 3}\\1) x + 3 = -4\\x=-7; y=1\\2) x + 3 = -2\\x = -5; y = 0\\3) x + 3 = -1\\x = -4; y = -2\\4) x + 3 = 1\\x=-2; y=6\\\\5) x + 3 = 2\\x = -1; y =4\\6) x + 3 = 4\\x = 1; y = 3.$

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