I got this question in my homework how would I go about in completing this A consumer has the following utility function for goods X and Y:

I got this question in my homework how would I go about in completing this

A consumer has the following utility function for goods X and Y: U(X, Y) = 5XY3 + 10 The consumer faces prices of goods X and Y given by px and py and has an income given by I. 

a. Solve for the Demand Equations, X*(px,py,I) and Y*(px,py,I) 

b. Calculate the income, own-price and cross-price elasticities of demand for X and Y.