The sum of the real numbers x and y is 11. their difference is 5. what is the value of xy? explain how you got your answer.

(1) x+y=11 given

(2) x-y=5 given

x=5+y equality property of addition (add y to both sides of (2)

5+y+y=11 sub previous result in to (1)

2y=6 algebra and simplificatiuon

y=3 division property of equality (divide both sides by 2)

x=8 again sub previous into (1)