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
