SOLUTION: How do I rewrite the equation -8x-5y=-45 as a function of x?

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Question 105783: How do I rewrite the equation -8x-5y=-45 as a function of x?
Found 2 solutions by bucky, Fombitz:
Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!
Given the equation:
.

.
To rewrite this equation as a function of x, begin by solving for y.
.
In this problem you need to get the term containing y on one side of the equation and everything
else on the other side. Start by getting rid of the term -8x on the left side. You can do
that by adding 8x to both sides. On the left side when 8x is added to - 8x, the two terms
cancel each other so the -8x disappears and you are left with:
.

.
Now solve for y by dividing both sides by -5 which is the multiplier of the y term. This
division leads to:
.

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Now just replace the y with f(x). This leads to the answer:
.

.
Hope this helps you to understand the problem a little better.
.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
You need to get to a form of the equation where y is on one side and everything else is on the other.

You get to use your properties to get there.

Additive inverse of (-8x) of 8x to both sides.
Simplify.
Multiplicative inverse of (-5) or (-1/5) to both sides.
Simplify left hand side.
Distributive property.

Now it is in a form where y is a function of x.


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