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5x - 54 = 3/4 y ⇒ 20x - 216 = 3y
3y - 16 = 2/3x ⇒ 9y - 48 = 2x
ordenando
20x - 3y = 216
-2x + 9y = 48 x 10
--------------------
20x - 3y = 216
-20x + 90y = 480
------------------------ sumando
87y = 696
y = 8
reemplazando
5x - 54 = 3/4 (8)
5x - 54 = 6
5x = 60
x = 12
los números son 12 y 8