Mathematics
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OpenStudy (itrymath):
2/3 (x - 2) = 4x i've never done 2/3 only 1/3
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OpenStudy (itrymath):
@iGreen
OpenStudy (danieldjpon3):
what do you need help with???
OpenStudy (igreen):
Just distribute it.
OpenStudy (itrymath):
two thirds (x - 2) = 4x
OpenStudy (3mar):
\[\frac{ 2 }{ 3 }(x-2)=4x\]Is this your equation?
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OpenStudy (igreen):
2/3(x - 2)
2/3 * x = ?
2/3 * -2 = ?
OpenStudy (itrymath):
what 3mar said
OpenStudy (itrymath):
2/3 (x - 2) = 4x
OpenStudy (3mar):
Ok. I am correct.
Let's solve.
OpenStudy (itrymath):
how
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OpenStudy (itrymath):
do i times the 3 * x?
OpenStudy (3mar):
Let's distribute and simplify.
\[\frac{ 3 }{ 2 }(x-2)=\]
multiply the fraction \[\frac{ 3 }{ 2 }\]by \[(x-2)\]
we get:
OpenStudy (igreen):
2/3*
OpenStudy (igreen):
It's 2/3 * x
And you just put the variable next to 2/3.
OpenStudy (igreen):
What about 2/3 * -2, can you multiply that?
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OpenStudy (itrymath):
um hold on let me use calculator
OpenStudy (itrymath):
-1.333333333333333
OpenStudy (igreen):
Just multiply -2 to the numerator, 2 and keep the denominator the same.
What do you get?
OpenStudy (3mar):
\[\frac{ 2 }{ 3 }x-\frac{ 2 }{ 3 }(-2)=\frac{ 2 }{ 3 }x-\frac{ 4 }{ 3 }\]
OpenStudy (itrymath):
what do 3mar do
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OpenStudy (itrymath):
and i got hold on
OpenStudy (itrymath):
-4/6
OpenStudy (itrymath):
Thats what i got do i simplify
OpenStudy (igreen):
-4 is correct..but you don't multiply it to the denominator.
OpenStudy (itrymath):
omg so whats the answer -4/3
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OpenStudy (igreen):
So we have:
2/3x - 4/3 = 4x
Now subtract 2/3x to both sides, can you do that?
OpenStudy (3mar):
\[\frac{ 2 }{ 3 }x-\frac{ 4 }{ 3 }=4x\]
Coolect all x in one side
\[4x-\frac{ 2 }{ 3 }x=-\frac{ 4 }{ 3 }\]
subtract:
\[4-\frac{ 2 }{ 3 }=\frac{ 10 }{ 3 }\]
then
\[\frac{ 10 }{ 3 }x=-\frac{ 4 }{ 3 }\]
so
\[x=\frac{ -4 }{10 }=\frac{ 2 }{ 5 }=0.4\]
OpenStudy (3mar):
Hope that helps
OpenStudy (itrymath):
1/6?
OpenStudy (itrymath):
thanks 3mar but i like to be guided through the steps
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OpenStudy (itrymath):
really do appreciate it
OpenStudy (itrymath):
i got 1/6 iGreen
OpenStudy (itrymath):
heello?
OpenStudy (itrymath):
@kittiwitti1
helllp
OpenStudy (itrymath):
@xapproachesinfinity help anyone
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OpenStudy (3mar):
I am here.
Where you stuck?
OpenStudy (itrymath):
how did you get 10/3?
OpenStudy (itrymath):
4*2 is 8 not 10
OpenStudy (3mar):
When you subtract the coefficients of the variable x, what are you doing?
specially when there are fractions?
OpenStudy (3mar):
\[4-\frac{ 2 }{ 3 }=???\]
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OpenStudy (itrymath):
what are coefficieants i forgot ?
OpenStudy (itrymath):
so 4*3 = 12-2 and we get 10?
OpenStudy (igreen):
@ItryMath No..how did you get 1/6?
OpenStudy (igreen):
It's 4 - 2/3
OpenStudy (igreen):
First try to get 4 to have a denominator of 3.
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OpenStudy (3mar):
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