identify the pair of integers the product is 14 and the sum is 9

Answer 1

7 and 2

7 x 2 = 14

7+2 = 9

xy =14

x+y= 9

y=9-x

x(9-x) = 14

9x -x^2 = 14

x^2 -9x +14 = 0

factor

(x-7)(x-2) = 0

set each factor =0 and solve for x

x-7= 0

x =7

x-2 =0

x =2