Final answer:
To find where to place the fan at the intersection of two strings of party lights, one would solve a system of equations that represents the lines on a coordinate plane, resulting in the coordinates of the intersection point.
Step-by-step explanation:
The question posed involves finding the point of intersection between two strings of party lights, which is a problem that can be addressed with basic principles of coordinate geometry. Assuming the strings of party lights are represented as lines on a coordinate plane, Eli needs to find the coordinates at which these lines intersect. This typically involves setting up a system of equations based on the given positional information of the lines and then solving for the x and y coordinates of the intersection point. For a detailed solution, we would need the equations of the lines representing the strings of party lights. Once the system of equations is solved, the intersection point retrieved is the coordinate at which Eli would place the fan.