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5/x = y/10
x-y = y , de donde se deduce que x = 2y
Usando lo anterior en la primera ecuacion
5/2y = y/10
50 = 2y^2
y^2 = 50/2 = 25
y = 5
Calculando x de la segunda ecuacion:
x-5 = 5
x = 10
Por lo que y + x = 5 + 10 = 15