Answer
(-12, 1) or (-2, 6)
Work Step by Step
x - 2y + 14 = 0 can be written as x = 2y + 14. Plug this into xy = -12
(2y - 14)y = -12
$2y^{2} - 14y = -12$
$2y^{2} - 14y + 12 = 0$
Divide both sides by 2
$y^{2} - 7y + 6 = 0$
Factor
(y - 1)(y - 6) = 0
y - 1 = 0 or y - 6 = 0
y = 1 or 6
Plug y-values into x = 2y + 14
x = 2(1) - 14 = -12
x = 2(6) - 14 =- 2
(-12, 1) or (-2, 6)
