I swapped the sides.

I just swapped them.

Well I swapped the sides.

I'd rather have this swapped around.

I swapped the two columns around.

I just swapped the two sides.

I just swapped these two sides.

X and a have swapped values.

I just swapped these two sides.

We've essentially swapped the x and y.

We've essentially just swapped the x's and the y's.

Because we've essentially just swapped the x and the y.

You can imagine if you swapped these guys around, if you swapped some of the rows, this guy would be negative, but you can 't have a negative area.

Here's a view inside the cube with the red and blue axes swapped.

And keep in mind, I actually swapped the left and the right hand sides.

If I had made another choice, then these two could have been swapped around.

And once again, it makes complete sense because we've swapped the x's and the y's.

Remember we solved for x, and then we swapped the x and the y, essentially.

I just swapped the order, you could say negative 9 4 is less than y.

All I did is I subtracted 100 from both sides of this equation and I swapped the sides.

So, 50 and 26 are getting swapped. All right, so now, what horrible thing have we created now?

So now that we divided both sides by a negative number, by negative 3, we swapped the inequality from greater than to less than.

And these things can all be swapped around to change the properties of an atom, or even go from an atom of one element to an atom of another element.

But the general idea, we just swapped the x's and y's between this function and this function right here, if you assume a domain of positive x's and positive y's.

And they were. They were prepared.

People were suffering. People were fighting.

Teachers were prisoners. Teachers were volunteers.

They were focused. They were engaged.

And so it's not going to break very easily, but if it does, virtually every piece in this machine can be swapped out and replaced with a hex wrench and a screwdriver.

They were not eaten, they were thrown away because they were dead.

There were few passengers who were safe.

We were poor, but we were happy.

The bedrooms were cold. They were unheated.

Classes were fixed, so were the breaks.

They were gesticulating they were running around.

We were wrong. Why were we wrong?

They were consuming what they were consuming

They were well respected. They were known.

There were users, and there were payers.

When you were young, people were better.

Farms were bulldozed, old houses were demolished.

You were banished because you were clumsy?

They were around when rockets were born.

And people were like, We knew they were vicious. We knew they were.

Some of them were hypothermic, some of them were frostbitten, some were both.