In Circle 4, the sum of the rectangles is simplified to 18x + 16y.
To complete the diagram, we need to find the sum of the two rectangles connected to each circle.
Circle 1
5x + 2y
+ x + y
-------
6x + 3y
Circle 2
6x + 3y
+ 3x + 4y
-------
9x + 7y
Circle 3
9x + 7y
+ 4x + 5y
-------
13x + 12y
Circle 4
13x + 12y
+ 5x + 4y
-------
18x + 16y
We can simplify the expressions in the circles as follows:
Circle 1: 6x + 3y
Circle 2: 9x + 7y
Circle 3: 13x + 12y
Circle 4: 18x + 16y