As you know, to get the inverse of any expression, we start off by switching the variables about and then solving for "y",
3x+y=8
y=8-3x
5x+3(8-3x)=8
5x+24-9x=8
-4x+24=8
-4x=-16
x=4
5x+3y=8
5(4)+3y=8
20+3y=8
3y=-12
Y=-4
5x+3y=8
5(4)+3(-4)=8
20+-12=8
8=8
In general, you're calculating the magnitude of average velocity. In fact, speed is a vector, and as such it also has a direction and orientation.
So, if you compute the average speed, you're assuming that you went directly from point A to point B, which is basically never the case.
If, instead, you actually moved on a straight line from point A to point B, then the two quantities are the same.
Hello there! We are given the following equation and want to simplify it:

First, let's use the Distributive Property:
For this step, we are going to let:
After applying this version of the Distributive Property, we are given the equation:

We're going to use the distributive party again, but a slightly different version that's almost the same as first:
Using this on both terms of the equation changes the equation to:

Now, we just remove the parenthesis and combine like terms

This should be your answer. Let me know if you need any clarifications, thanks!
~ Padoru