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A fraction equals 8/9. The numerator is 2 more than 6 times the quotient of the denominator and 7. Find the reciprocal of the original fraction
Mathematics
  • Stacey Warren - Expert brainly.com
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HELP!!!!
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@jim_thompson5910
HELP!!!!
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So this is my set up. 6(x+7)=8/9 or is it 6(x+7)/x=8/9?
jim_thompson5910
  • jim_thompson5910
`A fraction equals 8/9` so we have 2 numbers x and y divide like this x/y and they will reduce to 8/9 so that means x/y = 8/9 agreed?

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HELP!!!!
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Yup but could we approach this with 1 variable?
jim_thompson5910
  • jim_thompson5910
yes, but it helps to start off with 2 variables then do a substitution
jim_thompson5910
  • jim_thompson5910
x = numerator y = denominator `The numerator is 2 more than 6 times the quotient of the denominator and 7` so (numerator) = 6*(denominator/7) + 2 x = 6*(y/7) + 2 agreed?
HELP!!!!
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agree!
jim_thompson5910
  • jim_thompson5910
so we go from \[\Large \frac{x}{y} = \frac{8}{9}\] to \[\Large \frac{6(y/7)+2}{y} = \frac{8}{9}\]
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Alrighty! Thank you
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I got confused with the wording of the equation :)
jim_thompson5910
  • jim_thompson5910
you're welcome

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