Mathematics
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OpenStudy (anonymous):
Solve and express the solution set in simplest form.
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OpenStudy (anonymous):
\[\frac{8x-2 }{ 9 } = \frac{ 2 }{ 1 }\]
OpenStudy (anonymous):
That's the Problem.....^...... and hold on, I will list the options
OpenStudy (anonymous):
\[\frac{9}{4} , \frac{ 5 }{ 2 } , \frac{ 9 }{ 2 } , or \frac{ 9 }{ 8 }\]
OpenStudy (anonymous):
2/1 is the same thing as 2.
8x - 2/9 = 2
Multiply 9 to both sides, what's 2 * 9?
OpenStudy (anonymous):
18
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OpenStudy (anonymous):
So 8x-2 = 18?
OpenStudy (anonymous):
Yes, now add 2 to both sides 18 + 2 = ?
OpenStudy (anonymous):
20
OpenStudy (anonymous):
But 20 divided by 8 is a decimal.
OpenStudy (anonymous):
@iGreen.
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OpenStudy (anonymous):
Yes, then we can convert to a fraction.
OpenStudy (anonymous):
20/8 = 2.5
That's 2 5/10 in mixed number form.
Let's convert to improper fraction:
10 * 2 + 5 = ?
OpenStudy (anonymous):
25
OpenStudy (anonymous):
Yes, that gives us 25/10
25 / 5 = ?
10 / 5 = ?
OpenStudy (anonymous):
25/5 = 5
10/5 = 2
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OpenStudy (anonymous):
Yes, so our answer is 5/2.
OpenStudy (anonymous):
Oh. Okay. Thank you! I like that you walked me through the problem!
OpenStudy (anonymous):
No problem.
That's what everyone's supposed to do.