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) (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)
.
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:
.
.
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:
.
.
Performing the division on the right side results in:
.
and this further simplifies to:
.
.
Finish the problem by replacing y with f(x) to make the equation:
.
.
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.
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