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Solving Two-Step Equations Using Addition and Subtraction 10212 Views
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Description:
Solving two-step equations can be tricky, but at least they’re easier than doing the Texas Two-Step. We trip over our feet so often you’d think we were a centipede.
Transcript
- 00:04
Two-Step Equations using Addition and Subtraction, a la Shmoop.
- 00:10
Darlo is your average foreign exchange student.
- 00:12
He hails from a country no one can pronounce, dresses like it's 1978, and is hopelessly
- 00:18
in love with the wrong girl. In a desperate effort to win McKenzie's heart,
- 00:27
Darlo enters the Spring Talent Show.
Full Transcript
- 00:30
Unfortunately his only talent is disco...and the ability to grow more chest hair than a
- 00:35
gorilla in a leisure suit. Darlo boogies away for three rounds of the
- 00:41
tune "Disco Love" and six minutes of "Dance Fever."
- 00:45
If Darlo continues these dance moves for exactly ten minutes before getting annihilated by
- 00:49
McKenzie's boyfriend...
- 00:50
...can you determine how long the song "Disco Love" is?
- 00:54
First we'll need to find the variable. Since we want to solve for Disco Love's length,
- 01:00
we'll call that x. Darlo dances "Disco Love" three times, so
- 01:05
we'll write 3x.
- 01:07
Now we'll add the six minutes he grooves to "Dance Fever."
- 01:12
Darlo dances for a total of 10 minutes. So 3x + 6 = 10
- 01:19
Like bad polyester, there is a whole bunch of stuff we don't need in order to solve for
- 01:24
x.
- 01:24
To get all the x's on one side, we can subtract 6 from both sides to get 3x equals 4.
- 01:38
Remember to make the same move on both sides of that equal sign to maintain equality.
- 01:43
To solve for x, divide both sides by 3. 3x divided by 3 equals x... so there you have
- 01:52
it! x equals four thirds.
- 01:55
This means that "Disco Love" is four-thirds minutes long...
- 01:59
...which, in English, is one minute and twenty seconds too long.
- 02:04
And one more thing.
- 02:05
Darlo, next time you fall for a girl, make sure her boyfriend isn't on the football team.
- 02:18
And the basketball team.
- 02:19
And the soccer team.
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