The sum of two numbers is 8, and their difference is 22

15, - 7 x=15 y=-7

Step-by-step explanation:

x+y=8, we'll come back to this

x-y=22, move y to the other side, x=y+22

now insert the value of x = (y+22) to the other equation like so, (y+22) + y=8, simplify

2y+22=8 2y = (-14), y = (-7)

Insert the value of y into the first equation again like so, x + (-7) = 8, simplify

x=15

15, - 7