8) The sum of two numbers is 3. Their diffrence is 13. What are the two numbers?

A (8,5)

B (8,-5)

C (1,2)

D (20,7)

The answer is B: (8,-5)

B. (8,-5)

Step-by-step explanation:

Let the numbers be A and B

The sum of the two numbers = 3

That's

A + B = 3

Their difference is 13

That's

A - B = 13

We now have two equations

1. A + B = 3

2. A - B = 13

Subtract equation one from equation two

2B = - 10

Divide both sides by 2

2B/2 = - 10/2

B = - 5

Substitute - 5 for B into any of the equations to get A

Using equation 1

We have

A + B = 3

A + - 5 = 3

A - 5 = 3

Add 5 to both sides

A - 5 + 5 = 3 + 5

A = 8

The numbers are 8 and - 5