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x + y = 20
x.y = 96
Despejamos y de la primera: y = 20 - x; la reemplazamos en la segunda:
x . (20 - x) = 96; reduciendo términos:
20.x - x² = 96; reordenamos.
x² - 20.x + 96 = 0; resolviendo: x = 12; y = 8
Saludos Herminio