To find the average of (x) and (y) when (8x + 8y = 64), you can rearrange the equation to solve for (x + y) first and then find the average.
Starting with (8x + 8y = 64), you can factor out 8:
8(x + y) = 64
Now, divide both sides by 8:
x + y = 8
To find the average, divide this sum by 2 (since you're finding the average of two numbers):
Average} = x + y / 2 = 8/2 = 4
So, the average of (x) and y is 4.