A person wants to plant two types of fruits, A and B, on farmland, and sets the planting area of fruit A (area A) and the planting area of fruit B (area B) to satisfy the following three conditions: (I) Area A does not exceed 15 hectares. (II) The sum of area A and area B does not exceed 24 hectares. (III) Area A does not exceed 3 times area B, and area B does not exceed 2 times area A. Let area A be $x$ hectares and area B be $y$ hectares. Express the three conditions set by the person for area A and area B as a system of linear inequalities in $x$ and $y$.
A person wants to plant two types of fruits, A and B, on farmland, and sets the planting area of fruit A (area A) and the planting area of fruit B (area B) to satisfy the following three conditions:\\
(I) Area A does not exceed 15 hectares.\\
(II) The sum of area A and area B does not exceed 24 hectares.\\
(III) Area A does not exceed 3 times area B, and area B does not exceed 2 times area A.\\
Let area A be $x$ hectares and area B be $y$ hectares.
Express the three conditions set by the person for area A and area B as a system of linear inequalities in $x$ and $y$.