Answer:
The numbers are x = 3 and y = 1. Therefore the value of xy is 3.
Step-by-step explanation:
In order to calculate the numbers we will simplify the equation, this is done bellow:
2*x + x(2^2) + (y*2^3) + (y*2^4) = 42
2*x + 4*x + 8*y + 16*y = 42
6*x + 24*y = 42
We can divide the whole equation by 6, so we have:
x + 4*y = 7
The only possible combination of numbers that are positive and integers that will make the equation valid is x = 3 and y = 1. Therefore he value of xy is 3.
