ShmoopTube

00:03

All right sy maths members We got a new section

00:05

here It's called linear equations inequalities and systems And we

00:09

got a whole bunch of questions so well just dive

00:11

right in Here we go Which of the following ordered

00:13

pairs is a solution to this system of linear equations

00:18

Oh Ah long time ago in a system far far

00:23

away two lines of intersected form a solution and test

00:26

takers everywhere scrambling to determine the coordinates of this intersection

00:29

before the evil darth proctor starts tapping his foot Like

00:33

all heroes intent on saving the universe from evil we

00:36

need a strategy because one equation has already solved for

00:39

why use the fur force or write Well because we

00:41

didn't exactly pass jed i training Use the substitution method

00:46

that plug the y equals x plus five into the

00:48

first equation deployed parenthetical shields to keep the quantity x

00:52

plus five together as it breaks through the atmosphere into

00:54

hostile territory Looks like this three x plus two wise

00:57

five and then he got three x plus two times

01:00

that quantity X plus five is five Cassie we substituted

01:04

the x plus five They're for why they're very clever

01:06

Then we just distribute to across the entire quantity of

01:09

explosive five before simplifying and if see threepio is really

01:13

fluent in six million forms of communication and i'll surely

01:16

one of them is algebra right Where's a good droid

01:18

when we need one So here's the math three x

01:20

plus Two time's going to expose five get five x

01:23

plus ten is five No we get five Acts is

01:26

minus 5 we take away ten from both sides and

01:28

then we just divide by five and we've got x

01:30

equals negative one Beware Mind tricks of six lords x

01:34

equals negative one is only part of the solution Remember

01:37

the hone in on the target we find the x

01:39

coordinates of the solution by plugging acts back into either

01:43

equation Time is of the essence so use the second

01:45

equation it has already solved for why and it's really

01:48

easy in short right y equals x plus five just

01:50

stick in the negative one right there So why equals

01:53

negative one plus five or just five months One So

01:55

why is four And in the final episode it is

01:58

revealed that the solution is negative one four or a 00:02:01.988 --> [endTime] letter a maybe math force be with you

Full Transcript