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Help!! Which of the following uses the reciprocal property to rewrite 12/x-3 = 20/x+3?

A:12/x+3 = 20/x-3
B:x-3/20 = 12/x+3
C:x-3/12 = x+3/20
D:x-3/12 = 20/x+3

User Matewilk
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1 Answer

3 votes

The reciprocal property is:


(x - 3)/(12) = (x + 3)/(20)

Solution:

Given that,


(12)/(x - 3) = (20)/(x + 3)

The reciprocal property is given as:

The reciprocal of a fraction is the numerator and denominator switched


(a)/(b) = (c)/(d)\\\\Then\\\\(b)/(a) = (d)/(c)

Therefore,


(12)/(x - 3) = (20)/(x + 3)

By reciprocal property,

Switch the numerator and denominator of right side fraction as well as left side fraction

The we get,


(x - 3)/(12) = (x + 3)/(20)

Thus option C is correct

User Cole Cameron
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