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Solving Systems of Linear Equations, a la Shmoop.

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Okay... let's take a second and get over the intimidating name...

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...and start taking names and kicking some Math.

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One of the simplest ways to think about Systems of Linear Equations is that they are all about

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relationships. No... not like that one person in your grade

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who's been serial dating since they could talk.

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We mean numbers that can relate to each other. These relationships can be broken down into

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simple parts. Let's think about the two brothers in the

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latest Plumber Brothers video game. If Shmario...

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... has stomped on the heads of twice the number of Shmoopas that his brother Shmuigi...

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has smashed... ...AND...

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...Shmuigi stomps on 9 more Shmoopas... ... he'll have jumped on twice as many Shmoopas

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as his stout, red overall-sporting brother, Shmario.

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If you use both of these relationships... ... you can figure out just how many Shmoopas

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each brother has shmooshed already. All we do is substitute for one of the values.

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Here we can see that R equals two times G. So we can replace the R in the second relationship

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with 2 G. Now we have just one equation...

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... and we can find G by using some good old subtraction and division.

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Once we have G, we plug it back into the original... ... and we have our Shmoopa count.

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As you can see, relationships can help us get to the bottom of this sibling rivalry.

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Now on to Shmonic the Hedgehog...

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