Find x and y if 32x_y=1 and 16x/4=83x_y

not sure what x_y means. If it is x-y, then

32x - y = 1
4x = 83x-y
somehow I think that's not what you are after.
That 83 also looks suspicious. Maybe

3/2 x - y = 1
4x = 8/3 x - y
But that also looks a little weird.

So, what do you really mean?