Question

1. Two integers have a difference of 6 and a sum of - 18. What are the integers?​

Answer 1

Answer:

x - y = 6

x + y = -18

add the top equation to the bottom equation.

x+ x= 2x , (-y)+y= 0 and. 6 + (-18)= -12

So, 2x= -12

x= -6

To find y, plug in -6 for x in either x-y=6 or x+y= -18. I am going to choose the latter, x+y= -18. Substituting -6 for x, we have:

(-6)+y = -18

+6. +6 Adding six to both sides

0 + y = (-12)

final answer : y= -12 , x= -6