Question

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.

Answer 1

The value of xy is 24, given that x + y = 11 and x - y = 5.

Step-by-step explanation:

The question is asking for the value of the product xy, given that x + y = 11 and x - y = 5.

We can use a system of equations to solve for x and y.

To eliminate y, we can add the two equations together:

x + x + y - y = 11 + 5

2x = 16

x = 8

Substituting x into one of the original equations, we can find the value of y:

8 + y = 11

y = 3

Therefore, the value of xy is 8 * 3 = 24.

Answer 2

(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)