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Systems of Equations Videos 73 videos

Solving Systems of Linear Inequalities
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Solving Systems of Linear Equations in Three Variables
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Solving Systems of Equations by Substitution
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ACT Math 3.4 Intermediate Algebra 641 Views


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Description:

ACT Math: Intermediate Algebra Drill 3, Problem 4. Solve this system.

Language:
English Language

Transcript

00:03

To Shmoop or not to Shmoop...

00:05

That is not this question. That's not even the section. This is math...

00:08

...come on now. Alright solve this system 4x -3 y equals 12

00:13

X equal three-plus three fourths y

00:17

And here are the potential answers...

00:20

Okay, so what is this question asking?

00:22

Well, it's another substitution problem like Equal

00:25

and Nutrasweet, but this one is a total trick question.

00:29

If we multiply the bottom equation by four...

00:38

...we get 4x equals twelve plus three y.

00:43

Subtract 3y from both sides and uh...look familiar?

00:47

Yeah they are totally the same equation twinsies.

00:50

So what does that mean? Well let's think about it. Whenever asked to find a

00:55

solution of two equations

00:57

we're really trying to find the point of intersection of the two lines

01:00

01:03

if the two given lines are exactly the same which they are in this case

01:08

that means they intersect each other everywhere

01:11

or at all real numbers. So the correct answer is D.

01:14

Too bad Mr. Smith would have given us a gold star. Sniff sniff.

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