Answer: -3, 4
Step-by-step explanation:
- Integer #1 = x
- Integer #2 = y
x · y = -12
x + y = 1 ⇒ y = 1 - x
Bring the y-value(1 - x) into x · y = -12:
[tex]x(1 - x) = -12 \\x-x^{2}=-12\\-x^{2}+x+12=0\\-(x^{2}-x-12)=0\\(x+3)(x-4)=0\\x=-3,x=4[/tex]
Bring the x-values into y = 1 - x and see if the values multiply to -12:
x = -3 ⇒ 1 - (-3) = 4 ⇒ 4 * -3 = -12
x = 4 ⇒ 1 -4 = -3 ⇒ -3 * 4 = -12
