Solving Systems of Linear Equations

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."

AlgebraReal Numbers and Quantities
Solve systems of equations
LanguageEnglish Language
Systems of EquationsLinear and Nonlinear Equations

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...