Answer :

Answer:

The numbers are (x,y)=(-5,8) or (8,-5)

Step-by-step explanation:

Let two numbers be x and y,

We have,

x+y=3

x=3-y---(i)

Now,

xy=-40

(3-y)y=-40 [From (i)]

3y-y^2=-40

y^2-3y-40=0

Factoring,

(y + 5) (y - 8)=0

Either,

y+5=0        or,      y-8=0

y=-5                      y=8

When y=-5,

x=3-y

3--5

3+5

8

When y=8,

x=3-y

3-8

-5

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