What are the points of intersection between the equations of 3x -5y equals 16 and xy equals 7?

What are the points of intersection between the equations of 3x -5y equals 16 and xy equals 7?
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If 3x -5y = 16 and xy = 7 then by combining both equations into a single quadratic equation and solving it then the points of intersection are at (-5/3, -21/5) and (7, 1)
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