# algebra

The denominator of a fraction is 3 more than twice the numerator. If both the numerator and denominator are decreased by 7 and the simplified result is 7/19 find the original fraction

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1. original:

numerator: x
denominator: 2x+3
so the original fraction is
x/(2x+3)

new fraction:
(x-7)/(2x+3-7) = 7/19
19x - 133 = 14x - 28
5x = 105
x = 21

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2. The denominator of a fraction is 3 more than twice the numerator.If both the numerator and the denominator of the fraction are increased by 5,the resulting fraction is 2/7.Find the fraction.

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