2-d Machine learning?

I am only just beginning to learn Machine Learning in the hope that it might solve a problem I have.

I have a data set where there are two continuous 'output parameters' that I want to be able to determine given several input parameters (also continuous so far, although I guess it's not impossible that I could determine discrete features to parametrise it), and I have a training set that I can use to learn from.

For continuous data I could use regression analysis I realise, but all of the examples I have seen for this deal only with one output parameter, so for example you might work out the likely price of a house given the area, number of rooms etc., whereas I have two output parameters so to continue the example it would be like having to be able to predict the price and area of the house, given the number of rooms etc.

How can I go about doing this via Machine Learning?