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Mathematics 17 Online
OpenStudy (anonymous):

What is the value of x? http://static.k12.com/bank_packages/files/media/mathml_6868b1ccc9059a4643383726dde538e79559caec_1.gif x = ------

OpenStudy (anonymous):

The first step in this would be to isolate the variable.

OpenStudy (anonymous):

x is the variable in this problem

OpenStudy (anonymous):

okk

OpenStudy (anonymous):

To isolate the two variables, we would first move -8to the other side\[\frac{ 1 }{ 4 }x-8+\frac{ 2 }{ 4 }x=19\] \[\frac{ 1 }{ 4 }x-8+8+\frac{ 2 }{ 4 }x=19+8\] \[\frac{ 1 }{ 4 }x+\frac{ 2 }{ 4 }x=27\] Do you see how I added 8 to -8 to cancel it?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Ok, can you add these two numbers together for me?\[\frac{ 1 }{ 4 }x+\frac{ 2 }{ 4 }x\]

OpenStudy (anonymous):

ya sure 3/8x

OpenStudy (anonymous):

Not quite

OpenStudy (anonymous):

o.o how 1 + 2 = 3 and 4 + 4 = 8

OpenStudy (anonymous):

How about\[\frac{ 1 }{ 4}x+\frac{ 2 }{ 4 }x = \frac{ 3 }{4 }x\]

OpenStudy (anonymous):

?

OpenStudy (anonymous):

Remember that when the bottom numbers are the same, we just add the top numbers

OpenStudy (anonymous):

oh

OpenStudy (anonymous):

but there not looking for a fraction it doesn't tell me to type in a fraction

OpenStudy (anonymous):

Yes but stay with me

OpenStudy (anonymous):

oh ok

OpenStudy (anonymous):

Do you remember how we left off at \[\frac{ 1}{ 4 }x+\frac{ 2 }{ 4}x=27\]

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Well now we have \[\frac{ 3 }{ 4}x=27\]

OpenStudy (anonymous):

oh

OpenStudy (anonymous):

So this is \[\frac{ 3 }{ 4 }*x=27\] right?

OpenStudy (anonymous):

What is the opposite of multiplication?

OpenStudy (anonymous):

division

OpenStudy (anonymous):

@swagmaster47 so the answer is 27?

OpenStudy (anonymous):

Nope not yet

OpenStudy (anonymous):

Since the opposite of multiplication is division\[(.75x)/.75=27/.75\]

OpenStudy (anonymous):

are you asking whats 27 divide by 75 ?

OpenStudy (anonymous):

by .75

OpenStudy (anonymous):

0.75 = (3/4)

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