I pick two whole numbers $x$ and $y$ between $1$ and $10$ inclusive (not necessarily distinct). My friend picks two numbers $x -4$ and $2y-1$. If the product of my friend's numbers is one greater than the product of my numbers, then what is the product of my numbers?

to

Xy = x+8y-3

Step-by-step explanation:

I picked two numbers x and y between 1 and 10.

My friend picked x-4 and 2y-1

Then,

(X-4)(2y-1)= 1 + (xy)

2xy - x -8y +4 = 1 + xy

Xy - x - 8y +3=0

Xy = x+8y-3

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

0,0

step-by-step explanation: