When solving the system of equations, which expression could be substituted for r in the first equation?
1 answer:
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<u>Answer:</u>
The denominator of a fraction is 4 more than the numerator. The original fraction is
<u>Solution:</u>
Given that
Denominator of fraction is 4 more than the numerator.
Let’s say numerator of fraction be represented by variable x.
So denominator of a faction as it is four more that numerator will be x + 4
Also given if both decreased by three than simplified result is
Solving above equation for x
=> 7(x – 3 ) = 6 ( x + 1 )
=> 7x – 21 = 6x + 6
=> 7x – 6x = 6 + 21
=> x = 27
Numerator of fraction = x = 27
Denominator of fraction = x + 4 = 27 + 4 = 31
Hence the original fraction is