What two numbers multiply to -70 and add up to -3

Since answer is negative, then one value is neg and the other positive

So -x * y = -70

And -x + y = -3

Then, solve for y

y = x + 3

Sub into first equation

(-x)(x + 3) = -70

-x^2 - 3x = -70

0 = x^2 + 3x -70

0 = (x + 10)(x -7)

x = -10 or 7

Now plug into first equation to find y and the possible solutions

If x=-10, then y = 7
If x=7, then y = -10

xy =-70
x = -70/y
x + y = -3
(-70/y) + y = -3
-70 + y^2 = -3y
y^2 + 3y - 70 = 0
(y - 7)(y + 10) = 0
y = 7, -10

7 and - 10

7 x (-10) = -70
7 + (-10) = -3