ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

CAHSEE Math 5.2 Algebra I 260 Views


Share It!


Description:

Algebra I Drill 5, Problem 2. Which of the coordinates is a solution to the following system of equations?

Language:
English Language

Transcript

00:03

Here’s your shmoop du jour…

00:05

Which of the coordinates is a solution to the following system of equations?

00:10

Here are the potential answers…

00:14

So… what is this question asking?

00:16

It’s all about substitution. In other words… we can have a soy burger instead of processed cow meat.

00:24

But in this kind of substitution, everywhere we see a y here, we can put in a 2x and simplify

00:30

our life a bit by getting a real number for y.

00:34

So we rewrite the equation like this – and we have

00:36

4x minus 3 times 2x equals negative 24.

00:41

Simplify even further and we get 4x minus 6x equals negative 24.

00:47

We have negative 2x equals negative 24… so we can multiply both sides by negative

00:52

1 to get 2x equals 24… or x equals 12.

00:56

Now we can just substitute the 12 times 2 to get 24 for our y value.

01:00

So we get 12 and 24… and our answer is C.

01:03

As in, “Crapburger.”

Up Next

CAHSEE Math 5.3 Algebra and Functions
2032 Views

CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.

Related Videos

Solving Systems of Linear Inequalities
11427 Views

How do you solve a system of linear inequalities? Aw, man...and we thought solving a problem like Maria was tough...

Solving Systems of Linear Equations in Three Variables
823 Views

Please note: If starting your own petting zoo, Shmoop recommends you stock it with animals that aren’t quite so likely to bite your hand off. Tha...

Solving Systems of Equations by Substitution
14325 Views

We just love us some alliteration.

Solving Systems of Equations by Elimination
8201 Views

Solving systems of equations by elimination: Survivor-style. Sorry, y... the tribe as spoken.