Find the equation of the circle which circumscribes the triangle formed by the line: `\ \ y=x+2,3y=4x\ a n d\ 2y=3x`

Explanation

To find the equation of the circle that circumscribes the triangle formed by the lines \( y = x + 2 \), \( 3y = 4x \), and \( 2y = 3x \), we will follow these steps:

### Step 1: Find the intersection points of the lines
We need to find the vertices of the triangle formed by the intersection of the three lines.

**Intersection of Line 1 and Line 2:**
1. Line 1: \( y = x + 2 \)
2. Line 2: \( 3y = 4x \) (which can be rewritten as \( y = \frac{4}{3}x \))
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