Two numbers add to be 5 multiply to be - 6

-1, 6

Step-by-step explanation:

x + y = 5

xy = - 6

Take first equation and rewrite it. y = - x + 5

Then substitute the new equation in the second one.

x (-x + 5) = - 6

-x^2 + 5x + 6 = 0

Divide by - 1

x^2 - 5x - 6

(x + 1) (x - 6) = 0

x = - 1, 6