Two numbers that multiply to -8 and add to -7

-8 and 1

Step-by-step explanation:

Let the numbers be

X and Y

From statement 1,

X * Y = -8(1)

From statement 2,

X + Y= -7(2)

From (2) X= -Y-7(3)

Substitute (3) in (1)

(-Y-7)* Y = -8

-Y^2 -7Y = -8

Y^2 + 7Y -8= 0

Y( Y-1) +8 (Y-1)= 0

(Y+8) (Y-1)= 0

Y= -8 or 1

From (2);

When Y = -8; X =1

When Y =1; X= -8

The numbers are -8 and 1

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step-by-step explanation: