The y-coordinate of the solution is 36.
To find the y-coordinate of the solution, we need to solve the system of equations y = 11x + 3 and y = x² + 5x + 12.
We can solve this system by setting the two equations equal to each other:
11x + 3 = x² + 5x + 12
Simplifying the equation, we get:
x² - 6x + 9 = 0
This quadratic equation can be factored as (x - 3)² = 0
Therefore, the only solution for x is x = 3.
Plugging this value back into either of the original equations, we get:
y = 11(3) + 3 = 36
The y-coordinate of the solution is 36.