The coordinates of the second spot are (1,-2).
Starting from the first spot at (-5,3), moving 6 yards to the east means adding 6 to the x-coordinate, giving (-5+6, 3) or (1,3). Then, moving 5 yards to the south means subtracting 5 from the y-coordinate, giving (1, 3-5) or (1,-2).
you start a search for a buried object by marking the center of the field as (0,0), with coordinates giving distances in yards. Coordinates to the north or east are positive, and coordinates to the south or west are negative. You find nothing at (-5,3), so you try a likely looking spot 6 yards to the east and 5 yards to the south of the first spot. What are the coordinates of the second spot?
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