SOLUTION: Hi, I am in need of help with the following problem. Does the following equation define y as a function of x? xy + 4y = 6 Thank you!

Algebra ->  Functions -> SOLUTION: Hi, I am in need of help with the following problem. Does the following equation define y as a function of x? xy + 4y = 6 Thank you!       Log On


   

Question 1122132: Hi,
I am in need of help with the following problem.
Does the following equation define y as a function of x?
xy + 4y = 6


Thank you!



Found 2 solutions by ankor@dixie-net.com, greenestamps:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Not in it's present form
:
xy + 4y = 6
factor out y
y(x+4) = 6
divide both sides by (x+4)
y = 6%2F%28%28x%2B4%29%29, y is function of x

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The relation doesn't have to be written in y = ??? form to be a function.

The given equation DOES define a function, because when you solve for y you get an expression that you know will never give you more than one value of y for any value of x.

xy+4y = 6
y(x+4) = 6
y = 6/(x+4)