SOLUTION: Rewrite the equation –8x – 5y = –45 as a function of x.

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Question 70096: Rewrite the equation –8x – 5y = –45 as a function of x.
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
–8x – 5y = –45
To re-write this as a function the basic process is to solve for y and then replace
y with f(x)
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So let's begin by solving it for y. First you can start by adding 8x to both sides.
On the left side this has the effect of canceling out the -8x. On the right side it makes
a +8x appear. So by adding 8x to both sides the equation becomes:
.
-5y+=+8x+-+45
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Now, to get just y on the left side let's divide all the terms on both sides by the -5
that is the multiplier of y. When you do that you get:
.
y+=+%28%288x%29%2F-5%29+-+45%2F%28-5%29
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Performing the division on the right side results in:
y+=+-%288%2F5%29%2A+x+-%28-9%29
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and this further simplifies to:
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y+=+-%288%2F5%29%2Ax+%2B+9
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Finish the problem by replacing y with f(x) to make the equation:
.
f%28x%29+=+-%288%2F5%29%2Ax+%2B+9
.
This is the answer you are looking for.
.
Please check the above work. The basic process is OK, but make sure I didn't accidentally
make any math errors.
.
Hope this helps you to understand how to change the standard form of an equation into the
f(x) form.