Question

If xy = 24 and x + y = -10 what could x and y be?

Answer 1

Explanation:

x+ y=-10

y= -10-x

x(-10-x) = 24

-10x -x^2 = 24

x^2 + 10x -24 = 0

Factor:

(x+6) (x+4) = 0

X= -4 and -6

plug in x for y

x+y =-10

-4 + y =-10

y=-6

-6+y=-10

y = -4

so,

2 sets of answers

1) (-6,-4)

2) (-4,-6)