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Mathematics 19 Online
OpenStudy (anonymous):

5/6k+1/3=-7--2/3K

OpenStudy (mathlegend):

Remember the goal is to get the variable by itself.

OpenStudy (mathlegend):

Are you there?

OpenStudy (anonymous):

yes

OpenStudy (mathlegend):

Okay so if I were you I would add \[\frac{ 2 }{ 3} + \frac{ 5 }{ 6}=?\]

OpenStudy (anonymous):

but is negative 2

OpenStudy (mathlegend):

So the -2/3k isn't a fraction?

OpenStudy (anonymous):

yes

OpenStudy (mathlegend):

Well if it is a negative fraction that is why we are adding it to the other like term.

OpenStudy (anonymous):

oh k

OpenStudy (mathlegend):

\[\frac{ 2 }{ 3}+\frac{ 5 }{ 6}=?(Answer)\]

OpenStudy (mathlegend):

Make them common denominators....

OpenStudy (anonymous):

yes. i got 1/6

OpenStudy (mathlegend):

That is incorrect.

OpenStudy (mathlegend):

If I were you I would take 2/3 and multiply the numerator and the denominator by 2. This way you get the denominators the same.

OpenStudy (mathlegend):

\[\frac{ 4 }{ 6}+\frac{ 5 }{ 6}=?\]

OpenStudy (anonymous):

would it be negative -4/6 sense 2 is negative

OpenStudy (mathlegend):

No, we added 2/3 on both sides.

OpenStudy (anonymous):

oh k

OpenStudy (mathlegend):

For example if we just had 5k+1=-7-2k We would add 2 to both sides

OpenStudy (anonymous):

got it

OpenStudy (mathlegend):

So what is 5/6 + 4/6=?

OpenStudy (anonymous):

3/2

OpenStudy (mathlegend):

Okay good... so now we have: \[\frac{ 3 }{ 2}k + \frac{ 1 }{ 3}= -7\]

OpenStudy (mathlegend):

So now how do you move 1/3 to the right side of the equal sign?

OpenStudy (anonymous):

subtract 1/3

OpenStudy (mathlegend):

Good so can you do the operation: -7-1/3

OpenStudy (anonymous):

so i subtract -7-1 and get -8/3

OpenStudy (mathlegend):

Remember finding a common denominator.

OpenStudy (mathlegend):

Turn 7 into a fraction. \[\frac{ -7 }{ 1}-\frac{ 1 }{ 3}\]

OpenStudy (mathlegend):

Multiply the 1st fraction by 3

OpenStudy (anonymous):

oh k

OpenStudy (mathlegend):

\[\frac{ -21 }{ 3}-\frac{ 1}{ 3}\]

OpenStudy (mathlegend):

What does that equal?

OpenStudy (anonymous):

-22/3

OpenStudy (mathlegend):

Good

OpenStudy (mathlegend):

Now we need to divide

OpenStudy (mathlegend):

\[\frac{ 3 }{ 2}k \div \frac{ -22 }{ 3}\] Remember when dividing fractions you just cross multiply. What do you get?

OpenStudy (anonymous):

-44/9

OpenStudy (mathlegend):

Flip that... 9/-44

OpenStudy (anonymous):

is that the answer

OpenStudy (mathlegend):

Yes

OpenStudy (anonymous):

thanks

OpenStudy (mathlegend):

:)

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