Mathematics
22 Online
OpenStudy (anonymous):
divide: 36xy-397/3y explain
11 years ago
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@DanJS
11 years ago
OpenStudy (anonymous):
so i change the negative sign to a positive?
11 years ago
OpenStudy (danjs):
k
11 years ago
OpenStudy (anonymous):
wait how do i clt if you have to divide 3?
11 years ago
OpenStudy (danjs):
are both terms divided by 3y or just the second?
11 years ago
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
well whatever the sum for the numerator is, is supposed to be divided by 3
11 years ago
OpenStudy (jhannybean):
divide each term in the numerator by \(3y\)
11 years ago
OpenStudy (anonymous):
so do i go -362/3???
11 years ago
OpenStudy (danjs):
\[\frac{ 36xy - 397 }{ 3y } = \frac{ 36 }{ 3 }*\frac{ xy }{ y } - \frac{ 397 }{ 3 }*\frac{ 1 }{ y }\]
11 years ago
OpenStudy (jhannybean):
\[\frac{36xy-397}{3y}\]That is the question, yes?
11 years ago
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (danjs):
divide the numbers and the variables separately like above
11 years ago
OpenStudy (anonymous):
well 36-397 = -361
11 years ago
OpenStudy (jhannybean):
You cannot do that.
11 years ago
OpenStudy (jhannybean):
Big nono.
11 years ago
OpenStudy (danjs):
36/3 = 6
(xy)/y = x
397/3 = 397/3
11 years ago
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
ohh okay i divide each by 3....
11 years ago
OpenStudy (jhannybean):
yes,
11 years ago
OpenStudy (danjs):
Remember before, you can only add terms that have the same powers on the x
11 years ago
OpenStudy (anonymous):
36/3=12
397/3=132.3
11 years ago
OpenStudy (jhannybean):
Keep the fractions that do not simply as fractions instead of decimals unless otherwise asked
11 years ago
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (jhannybean):
simplify*
11 years ago
OpenStudy (anonymous):
im confused.....
11 years ago
OpenStudy (jhannybean):
So leave \(\dfrac{397}{3}\) alone.
11 years ago
OpenStudy (anonymous):
okay so 36/3=12 still
11 years ago
OpenStudy (jhannybean):
Yes.
11 years ago
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (danjs):
\[\frac{ 36xy }{ 3y } = \frac{ 36 }{ 3 }*\frac{ xy }{ y } = 3 * \frac{ x*y*y ^{-1} }{ 1 } = 3 * x*y ^{1-1}\]
11 years ago
OpenStudy (danjs):
3x for that one
11 years ago
OpenStudy (danjs):
12x... lol i cant divide
11 years ago
OpenStudy (jhannybean):
:P
11 years ago
OpenStudy (anonymous):
omg i forgot about the 1-1 lol
11 years ago
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (danjs):
yes if you are dividing variables to pwers, just remember if you move one to the other side of the fraction, subtract its power
11 years ago
OpenStudy (danjs):
\[\frac{ y^6 }{ y^3 } = y ^{6-3} = y^3\]
for example
11 years ago
OpenStudy (jhannybean):
I would go about it this way:\[\frac{36xy-397}{3y}\]\[\left(\frac{\color{blue}{36}x\color{red}y}{\color{blue}{3}\color{red}{y}}\right)-\frac{397}{3y}\]
11 years ago
OpenStudy (jhannybean):
So simplify the blue, simplify the red, and you're done.
11 years ago
OpenStudy (danjs):
im goin to play skyrim.... later
11 years ago
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (jhannybean):
xD
11 years ago
OpenStudy (jhannybean):
Whichever method makes sense to you, stick to it and solve it.
11 years ago
OpenStudy (jhannybean):
So for my method (36/3) = 12, right?
(y/y) = 1, yes?
11 years ago
OpenStudy (jhannybean):
\[\left(\frac{\color{blue}{36}x\color{red}y}{\color{blue}{3}\color{red}{y}}\right)-\frac{397}{3y} = 12x -\frac{397}{3y}\]
11 years ago