Find the value of `m` for which the lines `m x+(2m+3)y+m+6=0` and `m x+(2m+1)x+(m-6)y+9=0` intersect at a; point on `y`-axis .

Explanation

To find the value of `m` for which the lines \( mx + (2m + 3)y + (m + 6) = 0 \) and \( mx + (2m + 1)x + (m - 6)y + 9 = 0 \) intersect at a point on the y-axis, we can follow these steps:

### Step 1: Identify the intersection on the y-axis
The intersection point on the y-axis occurs when \( x = 0 \). We will substitute \( x = 0 \) into both equations to find the corresponding \( y \) values.

### Step 2: Substitute \( x = 0 \) in the first equation
Substituting \( x = 0 \) in the first equation:
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