Using integration, find the area bounded by the lines x+2y=2, y−x=1 and 2x+y=7

Explanation

To find the area bounded by the lines given by the equations \(x + 2y = 2\), \(y - x = 1\), and \(2x + y = 7\), we will follow these steps:

### Step 1: Find the intersection points of the lines

1. **Intersection of \(x + 2y = 2\) and \(y - x = 1\)**:
- From \(y - x = 1\), we can express \(y\) as:
\[
y = x + 1
...