The sum of two numbers is - 5, and the difference of the two numbers is - 17. What are the numbers?

A. - 11 and 6

B. - 11 and - 6

C. 12 and - 5

D. 11 and - 6

E. - 12 and 5

its not A. thats all i know

A

let the 2 numbers be x and y, then

x + y = - 5 (sum of numbers)

x - y = - 17 (difference of 2 numbers)

add the 2 equations term by term to eliminate y

2x = - 22 (divide both sides by 2)

x = - 11

substitute x = - 11 into x + y = - 5 and solve for y

- 11 + y = - 5 (add 11 to both sides)

y = - 5 + 11 = 6

The 2 numbers are - 11 and 6 → A