SOLUTION: determine whether the equation defines y as a function of x xy-5y=1

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Question 775810: determine whether the equation defines y as a function of x
xy-5y=1
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
xy+-+5y+=+1
y%28x+-+5%29+=+1
y+=+1%2F%28x+-+5%29
Since dividing by zero is not allowed the next step is only legitimate when x%3C%3E+5.
so, y+=+1+%2F+%28x+-+5%29 is defined for all x except x%3C%3E5

Technically therefore the answer would be yes,the equation defines y as a function of x, y can be isolated on one side of the equal sign.
domain: function is a defined over { x| x ∈ R and x%3C%3E5 }