For what value of `lambda` are the three lines `2x-5y+3=0,\ 5x-9y+lambda=0\ a n d\ x-2y+1=0` concurrent?

Explanation

To find the value of \( \lambda \) for which the three lines \( 2x - 5y + 3 = 0 \), \( 5x - 9y + \lambda = 0 \), and \( x - 2y + 1 = 0 \) are concurrent, we will use the condition that the determinant formed by the coefficients of the lines must be zero.

### Step 1: Write the equations in standard form
The equations of the lines are:
1. \( 2x - 5y + 3 = 0 \)
2. \( 5x - 9y + \lambda = 0 \)
3. \( x - 2y + 1 = 0 \)

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