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Solving Systems of Linear Equations 15822 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."

Language:
English Language

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

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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