The sum of two numbers is -5 , and the difference of the two numbers is -17 . what are the numbers? a. -11 and 6b. -11 and -6 c. 12 and -5d. 11 and -6e. -12 and 5

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

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