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Question 163707: 2x+y=5
make y a function of x
Found 2 solutions by midwood_trail, gonzo:
Answer by midwood_trail(310)   (Show Source):
You can put this solution on YOUR website! 2x+y=5
Make y a function of x
To make y as a function of x means to make y depend on x.
To do so, isolate y. The goal is to place y alone on one side of the equation.
2x + y = 5
Subtract 2x from both sides.
y = -2x + 5....This is your answer.
In the equation, y = -2x + 5, the value of y depends on the value(s) you select for x.
This is why it's called "y as a function of x."
Since, y = f(x), we can also write your answer this way:
f(x) = -2x + 5
I am sure that your teacher wanted the answer to be y = -2x + 5.
I hope this helps.
Answer by gonzo(654) (Show Source):
You can put this solution on YOUR website! equation is 2x+y=5
to make y a function of x, you need to have y on the left side of the equation.
subtracting 2x from both sides of the equation gets
y = 5-2x
y is now a function of x.
y is the dependent variable because the value of y depends on the value of x.
x is the independent variable.
you can say y = 5-2x.
or you can say f(x) = 5-2x.
or you can say y = f(x) = 5-2x.
y is the dependent variable.
x is the independent variable.
f is the function name
you could call the function by any name.
if you said y = g(x), then g is the function name, and g(x) = 5-2x.
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as it stands, though.
y = f(x) = 5-2x would be the answer you are looking for.
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