Question

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

Answer 1

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