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Linear and Nonlinear Equations Videos 15 videos
FYI: cats don't like to get wet. Okay, so that fact won't be relevant every time you solve trig equations, but it happens to be this time.
Time to rewrite linear equations....ahem: linear equations. Tah-dah.
You can learn pretty much all there is to know about a linear equation by checking its relationship status. Just keep your fingers crossed that it...
Solving Systems of Linear Equations 15823 Views
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Description:
You can learn pretty much all there is to know about a linear equation by checking its relationship status. Just keep your fingers crossed that it doesn’t say, "It’s complicated."
Transcript
- 00:04
Solving Systems of Linear Equations, a la Shmoop.
- 00:09
Okay... let's take a second and get over the intimidating name...
- 00:14
...and start taking names and kicking some Math.
- 00:20
One of the simplest ways to think about Systems of Linear Equations is that they are all about
- 00:24
relationships. No... not like that one person in your grade
Full Transcript
- 00:30
who's been serial dating since they could talk.
- 00:33
We mean numbers that can relate to each other. These relationships can be broken down into
- 00:39
simple parts. Let's think about the two brothers in the
- 00:44
latest Plumber Brothers video game. If Shmario...
- 00:49
... has stomped on the heads of twice the number of Shmoopas that his brother Shmuigi...
- 00:54
has smashed... ...AND...
- 00:56
...Shmuigi stomps on 9 more Shmoopas... ... he'll have jumped on twice as many Shmoopas
- 01:03
as his stout, red overall-sporting brother, Shmario.
- 01:08
If you use both of these relationships... ... you can figure out just how many Shmoopas
- 01:12
each brother has shmooshed already. All we do is substitute for one of the values.
- 01:18
Here we can see that R equals two times G. So we can replace the R in the second relationship
- 01:23
with 2 G. Now we have just one equation...
- 01:27
... and we can find G by using some good old subtraction and division.
- 01:46
Once we have G, we plug it back into the original... ... and we have our Shmoopa count.
- 01:54
As you can see, relationships can help us get to the bottom of this sibling rivalry.
- 01:59
Now on to Shmonic the Hedgehog...
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