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To solve this system of inequalities, we can start by isolating x in the first inequality:

x*3 < y x < y/3

Next, we can substitute this expression for x into the second inequality:

x + 18 > y y/3 + 18 > y

Now, we can solve for y by subtracting y/3 from both sides:

18 > 2y/3

Multiplying both sides by 3 to get rid of the fraction:

54 > 2y

Dividing by 2:

27 > y

So the solution to the system of inequalities is y < 27. We can then substitute this value back into the first inequality to solve for x:

x < y/3 x < 27/3 x < 9

Therefore, the solution to the system of inequalities is x < 9 and y < 27.