If 9x2 + y2 = 37, xy = 2 (x, y > 0) find 27x3 + y3 + 50.

217 267 207 297

267

By Putting x = 2 and y = 1 These values are satisfying the equations: ⇒ 9x2 + y2 = 37 ⇒ 9(2)2 + (1)2 = 37 ⇒ 37 = 37 Put these values and find: ⇒ 27x3 + y3 + 50 = 27(2)3 + (1)3 + 50 = 216 + 1 + 50 = 267