Mathematics
7 Online
OpenStudy (anonymous):
3x/4 = 7+ x/6 helpp me please!
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OpenStudy (smurfy14):
x=12
OpenStudy (anonymous):
multiply whole equation by 12 on both sides to delete numerators.
OpenStudy (anonymous):
9x=84+2x.
7x=84
x=12.
OpenStudy (anonymous):
where did 84 come from?
OpenStudy (anonymous):
divide 7 from both sides.
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OpenStudy (anonymous):
srry but i still dont understand. i only got 9x = 7 + 2x
OpenStudy (anonymous):
then drag 2x to the other side to make it, 9x-2x=7
OpenStudy (anonymous):
so would you have 7x = 7 x=1
OpenStudy (anonymous):
er....84.
OpenStudy (anonymous):
my bad.
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OpenStudy (anonymous):
9x-2x=84.*****
OpenStudy (anonymous):
error there.
OpenStudy (anonymous):
its okay
OpenStudy (anonymous):
sorry i really dont get this im only in 8th grade.
OpenStudy (anonymous):
so 7x=84.
then divide 7 to make it, 7x/7=84/7.
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OpenStudy (anonymous):
cancel the 7's.
OpenStudy (anonymous):
what do you multiply to get 84?
OpenStudy (anonymous):
12.
OpenStudy (anonymous):
x/4 and x/6 have least common multiple of 12.
OpenStudy (anonymous):
so multiply whole equation by 12/1.
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OpenStudy (anonymous):
yea then i get 36x/4 = 7+ 12x/6
OpenStudy (anonymous):
no.
OpenStudy (anonymous):
w8, yes. but multiply the 7 as well.
OpenStudy (anonymous):
so since 7 is on the 12x/6 side you wud multiply it by 12?
OpenStudy (anonymous):
this is what u r doing to the whole equation.
12((3x/4=7+x/6))
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OpenStudy (anonymous):
then, distribute the 12 to each number.
OpenStudy (anonymous):
12(3x/4)=12(7)+12(x/6).
do u get that^^^?
OpenStudy (anonymous):
yea. so your answer wud be 36x/4 = 84 + 12x/6
OpenStudy (anonymous):
yup. then u cancel out common factors.
OpenStudy (anonymous):
36/4=9 so 9x.
84 remains the same.
12/6=2 so 2x.
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OpenStudy (anonymous):
so your left with 9x =84 + 2x
OpenStudy (anonymous):
yep. then subtract 2x from both sides to get 9x-2x=84.
OpenStudy (anonymous):
subtract from both side then you get 7x=84!
OpenStudy (anonymous):
There ya go!
OpenStudy (anonymous):
x=12
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OpenStudy (anonymous):
yup!
OpenStudy (anonymous):
thank you so much!
OpenStudy (anonymous):
glad i could help!
OpenStudy (anonymous):
:)
OpenStudy (anonymous):
you dont know how much i appreciated the step by step help!
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OpenStudy (anonymous):
hey no problem! That's why I'm here!
OpenStudy (anonymous):
=) can you help me with another problem?
OpenStudy (anonymous):
sure.
OpenStudy (anonymous):
its more challenging than the other one.
OpenStudy (anonymous):
thank you so much!
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OpenStudy (anonymous):
hit me.
OpenStudy (anonymous):
5x/2 - 10 = x/4 - 1
OpenStudy (anonymous):
step 1....
OpenStudy (anonymous):
ok, so the least common multiple of this one would be 4, right?
OpenStudy (anonymous):
yes. b/c they have the same common denominator.
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OpenStudy (anonymous):
then you multiply 4 to the whole equation.
show me the result.
OpenStudy (anonymous):
gotcha.
OpenStudy (anonymous):
20x/4 - 10 = 4x/4 -4
OpenStudy (anonymous):
u forgot 10.
OpenStudy (anonymous):
yeah.
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OpenStudy (anonymous):
multiply, 4(-10).
remember, all the numbers in the equation.
OpenStudy (anonymous):
20x/4-40=4x/4-4.
OpenStudy (anonymous):
u with me?
OpenStudy (anonymous):
sorry. so its 20x/4 - 40 = 4x/4 - 4
OpenStudy (anonymous):
yes it is.
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OpenStudy (anonymous):
so now, you would simplify this equation.
OpenStudy (anonymous):
5x-40= x-4
OpenStudy (anonymous):
yup. good job.
OpenStudy (anonymous):
now you have to isolate x.
OpenStudy (anonymous):
woohoo.
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OpenStudy (anonymous):
k so now. i have 4x-40 = -4
OpenStudy (anonymous):
correct.
OpenStudy (anonymous):
sweet.
OpenStudy (anonymous):
now the other side.
OpenStudy (anonymous):
x= 9
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OpenStudy (anonymous):
yay! good job!
OpenStudy (anonymous):
woohoooo!!! high five!!!
OpenStudy (anonymous):
yay. we did it!
OpenStudy (anonymous):
no, u did it! lol.
OpenStudy (anonymous):
lol. you helped me alot!
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OpenStudy (anonymous):
lol i'm here for a reason.
OpenStudy (anonymous):
i know you are! are you like a math professor or something?
OpenStudy (anonymous):
thank you so much once again. i really appreciate the help!
OpenStudy (anonymous):
np! glad I could help!
OpenStudy (anonymous):
=)
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OpenStudy (anonymous):
:)
OpenStudy (anonymous):
can i ask you another question. its different than these. this is my last question.
OpenStudy (anonymous):
sure.
OpenStudy (anonymous):
5y - 2 (y+2) = 5
OpenStudy (anonymous):
ok, do u know the distributive property?
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OpenStudy (anonymous):
yes i do.
OpenStudy (anonymous):
distribute 2 to y+2.
OpenStudy (anonymous):
2 or -2
OpenStudy (anonymous):
good question. -2. do u know why?
OpenStudy (anonymous):
remember that theres a minus sign behind the 2
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OpenStudy (anonymous):
yes. i got it.
OpenStudy (anonymous):
so you wud have.......... 5y (-2y - 4 ) =5
OpenStudy (anonymous):
no, it's 5y-(-2y)-4=5.
OpenStudy (anonymous):
Okay. so then you wud do keep fix change so now u have 7y -4 =5 ?
OpenStudy (anonymous):
yep.
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OpenStudy (anonymous):
no!!!
OpenStudy (anonymous):
error.
OpenStudy (anonymous):
yeah. that didnt make sense when i tried to solve it.