Explanation:

Let's evaluate the given regression lines for the point \( y = -3 \):

- Equation 1: \( x + 4y + 1 = 0 \)

- Substitute \( y = -3 \): \( x + 4(-3) + 1 = 0 \)

- Simplify: \( x - 12 + 1 = 0 \)

- Result: \( x = 11 \)

- Equation 2: \( 4x + 9y + 7 = 0 \)

- Substitute \( y = -3 \): \( 4x + 9(-3) + 7 = 0 \)

- Simplify: \( 4x - 27 + 7 = 0 \)

- Result: \( 4x - 20 = 0 \)

- Solve for \( x \): \( 4x = 20 \)

- Therefore, \( x = 5 \)

- The correct value of \( x \) when \( y = -3 \) is 5.

Correct Option:

- Option 3: 5