ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Graphing Videos 24 videos
To solve systems of equations by graphing, just simplify the equations to be in slope intercept form (y = mx + b), and then graph them. Finally, fi...
Please be advised that Shmoop does not endorse owning a pet Stegosaurus. The character in this video is a professional—do not attempt at home.
If we never put any points on our graphs, they’d really just be grids. Just sayin'.
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?
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.
Full Transcript
- 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.”
Related Videos
CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.
How do you solve a system of linear inequalities? Aw, man...and we thought solving a problem like Maria was tough...
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 elimination: Survivor-style. Sorry, y... the tribe as spoken.