You now have two equations, the budget equation (m=x₁p₁+x₂p₂)and the tangency conditions (x₁^*=2m/3p₁ and x₂^*=m/3p₂)that must be satisfied by the bundle demanded.

Find his demand functions for good 1, x₁(p₁, p₂, m) and good 2, x₂(p₁, p₂, m).

1. x₁(p₁, p₂, y) =
2. x₂(p₁, p₂, y) =