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Y = Segundo Numero
X + 5(1/Y) = 2; X + (5/Y) = 2 (1)
Y + 4X = 9 (2)
Y = 9 - 4X; Reemplazo Y en (1)
X + [5/(9 - 4X)] = 2
[X(9 - 4X) + 5]/(9- 4X) = 2
[9X - 4X² + 5] = (9 - 4X).2
[9X - 4X² + 5] = 18 - 8X
0 = 4X² - 9X - 8X + 18 - 5.
0 = 4X² - 17X + 13
a = 4 ; b = -17; c = 13.
X = [17 +/- 9]/8
X1 = [17 + 9]/8 = 3.25
X2 = [17 - 9]/8 = 1.
Usamos X = 1
Y = 9 - 4X; Y = 9 - 4(1) = 5
Y = 5.
Los numeros son 1 y 5