Solve the simultaneous equations.
Given that x and y are positive integers, solve the simultaneous equations: 3^x * 2^y = 72 3^(x-1) * 2^(y+1) = 48
Dive into the world of maths magic! Every day, I will sprinkle your learning journey with 1 or 2 tantalizing questions from 11 plus Maths, GCSE Maths, and even thrilling Maths competitions. Gear up to conquer some of the most challenging brain-teasers in these realms. Let's make maths marvellous!