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Question:

Given that 5x = 7y, find the ratio x : y.

A 7:5
Explaination

The ratio of x : y is equivalent to x divided by y, or $9967_w11_h37.png$. Rearrange the original equation so that only $9967_w11_h37.png$ is on one side of the equal sign.
5x=7y
Dividing both sides by 5 to find: x= (7y/5)
Dividing both sides by y to produce the desired format of $9967_w11_h37.png$:
(x/y)=(7/5)