Determine, algebraically, the vertices of the triangle formed by the lines
3x-y=3
2x-3y=2
and `" " x+2y=8`

Explanation

To determine the vertices of the triangle formed by the lines given by the equations \(3x - y = 3\), \(2x - 3y = 2\), and \(x + 2y = 8\), we will find the intersection points of these lines algebraically.

### Step 1: Find the intersection of the first two lines
We will solve the equations \(3x - y = 3\) (Equation 1) and \(2x - 3y = 2\) (Equation 2).

1. Rearranging Equation 1:
\[
y = 3x - 3
...