Raymond J. answered • 3d

x + y = -12

xy = 11

We need to use substitution, so get one equation in terms of x

x = -12 - y

then plug in for x in the other equation

(-12 - y)y = 11

-12y - y^{2} = 11

y^{2} + 12y + 11 = 0

(y + 11)(y + 1) = 0

y = -11 or y = -1

when y = -11:

x + (-11) = -12

x = -1

when y = -1

x + (-1) = -12

x = -11

so the two numbers are -1 and -11