Explanation

x + y = 30 ... (Equation 1)

x - y = 8 ... (Equation 2)

We can solve these equations by adding them together, which eliminates y:

2x = 38

Dividing both sides by 2 gives us:

x = 19

Now that we have x, we can find y by substituting x into Equation 1:

19 + y = 30

Subtracting 19 from both sides gives us:

y = 11

Now that we have both x and y, we can find their product:

Product = x * y

= 19 * 11

= 209