If the difference in the side lengths of two squares is 10, and the sum of the side length is 18, what are the side lengths?

Set up the system of equations described in the question, and add the equations:

 

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Now that we have x=14, the other side length can be solved by substituting 14 into either equation to get y=4.

The side length of one square is 14. The side length of the other is 4.