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Among all pairs of numbers (x,y)such that 2x+y=14, find the pair for which the sum of square, x^(2)+y^(2),is minimum write your answers as fraction reduced

Among all pairs of numbers (x,y)such that 2x+y=14, find the pair for which the sum of square, x^(2)+y^(2),is minimum write your answers as fraction reduced to lower terms.

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