Given that x = 2Y = 5 and x = 1y = 10 are solutions of the equation AX + by = 15, then a=______ ,b______ .

Given that x = 2Y = 5 and x = 1y = 10 are solutions of the equation AX + by = 15, then a=______ ,b______ .

∵ x = 2Y = 5 and x = 1y = 10 are the solutions of the equation AX + by = 15, substituting 2A + 5B = 15, ① a + 10B = 15, ② × 2 - ① to get 15b = 15, B = 1, substituting B = 1 into ① to get 2A + 5 = 15, a = 5, so the answer is: 5, = 1