The number of solutions of the equation `2x + y = 40` where both x and y are positive integers and `x le y`.

Options

A. 7
B. 13
C. 14
D. 18

Answer

To solve the equation \(2x + y = 40\) for positive integers \(x\) and \(y\) such that \(x \leq y\), we can follow these steps:

### Step 1: Express \(y\) in terms of \(x\)
From the equation \(2x + y = 40\), we can rearrange it to find \(y\):
\[ y = 40 - 2x \]