How to calculate x=3 and y=2, if 2x=3y?

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In Chemistry during the calculation of valency like Al₂O₃. If 2x instead of 2 (for Al) = 3y instead of 3 (for O) and to calculate the valency of Al, we should write 2x = 3y, and x must be 3 or x=3 for the valency of Al. So If the equation is 2x = 3y so how to calculate x = 3 and y = 2?
 
In Chemistry during the calculation of valency like Al₂O₃. If 2x instead of 2 (for Al) = 3y instead of 3 (for O) and to calculate the valency of Al, we should write 2x = 3y, and x must be 3 or x=3 for the valency of Al. So If the equation is 2x = 3y so how to calculate x = 3 and y = 2?
In valency calculation - you are looking for minimum integer solution of the equation (most of the time - in organic chemistry it is always not minimum).

so

x = 3/2 * y

You can see that the minimum "integer" value of y has to be y = 2 (so that we can get integer value of x).
 
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