Except I didn't actually solve for x and y; I sort of counted up and down until I figured out what worked. But I did at least figure out the form the equations had to take, so I'm somewhat happy.
This is how I got decent math scores on standardized tests. They don't expect you to show your work much on those; they just want you to pencil in the little dots. So if you do it in your head and count on your fingers and make arcane number doodles on your scratch paper, it's less efficient than knowing how to do the math properly, but it still allows you to put down the correct answer.
I had fun with it, Suse! Looks like Rich did, too. (g)