Question 204959: What is the difference of twice the number and 16 is equal to the quotient of three times the number and 8?
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! 2n-16 = 3n/8,,,,,,multiply thru by 8
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16n-128 =3n
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13n = 128
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n= 9.846
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check,,2(9.846) -16 = 3(9.846)/8 = 3.692,,,,ok
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If per chance,,what they really meant was 2n-6= 8/3n
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Multiply by 3n,,,,,6n^2 -18n =8,,,,,6n^2 -18n -8 = 0
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2(3n^2 -18n -4) =0
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using the quadratic formula
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a=3,,,,b=(-9),,,,c=(-4)
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n = [ -(-9) +/- sqrt{ (-9)^2 -4 (3) (-4)} ] /2(3)
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n= [ 9 +/- sqrt{ 81 +48}]/6
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n= [ 9 +/- 11.36]/6
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n= 3.39, -.39
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check by inserting in original equation,,,ok
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