If x and y are positive integers and 5 + x + y + xy = 19, what is the value of x + y?  Choose the correct choice from the following: A) 3 B) 5 C) 6 D) 8 E) 9
Try each answer choices.   For A: 5 + 3 + xy = 19; xy = 11 (impossible, 11 prime number. 1 + 11 doesn't equal 3)   For B: 5 + 5 + xy = 19; xy = 9 (no combination of xy = 9 and x + y = 5)   For C: 5 + 6 + xy = 19; xy = 8 (x + y = 6; x = 2, y = 4 or x = 4, y = 2)   For D: 5 + 8 + xy = 19; xy = 6 (no combination of xy = 6 and x + y = 8)   For E: 5 + 9 + xy = 19; xy = 5 (impossible, 5 prime number. 1 + 5 doesn't equal 9)   Therefore, answer 6.
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If x and y are positive integers and 5 + x + y + xy = 19, what is the value of x + y?