What is the ratio xy if 3xy = y and y cannot equal 0?

To solve for the ratio xy given the equation 3xy = y with the condition that y ≠ 0, we can start by simplifying the equation.

First, we can factor out y from both sides:

3xy = y

Dividing both sides by y (valid since y cannot be 0), we get:

3x = 1

Next, we can solve for x:

x = rac{1}{3}

Now, substituting this value of x back to find the ratio xy:

xy = y 	imes rac{1}{3} = rac{y}{3}

To express the ratio xy in terms of y, we can conclude:

xy : y = rac{y}{3} : y = rac{1}{3} : 1

This simplifies down to a ratio of:

1 : 3

So, the ratio xy to y is 1:3.