The total expenditure per month of a household consists of a fixed rent of the house and mess charges depending upon the number of people sharing the house. The total monthly expenditure is Rs. 3900 for 2 people and Rs. 7500 for 5 people. Find the rent of the house and the mess charges per head per month.

Explanation

To solve the problem, we need to set up a system of linear equations based on the information provided. Let's break it down step by step.

### Step 1: Define Variables
Let:
- \( x \) = Rent of the house (in Rs)
- \( y \) = Mess charges per head (in Rs)

### Step 2: Set Up the Equations
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