Can I put down a deposit on a buy to let property that is generated from mortgaging my house? ?

I am currently purchasing a house to live in. I am able to pay outright for the property but would like to invest in a buy to let as well. Would I be able to get for example a �40k mortgage on my house using my income, and then put this 40k down as a deposit on a buy to let, and use the rental income to pay the buy to let mortgage? Thanks