Question

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

Answer 1

The reciprocal property is:

$\frac{x - 3}{12} = \frac{x + 3}{20}$

Solution:

Given that,

$\frac{12}{x - 3} = \frac{20}{x + 3}$

The reciprocal property is given as:

The reciprocal of a fraction is the numerator and denominator switched

$\frac{a}{b} = \frac{c}{d}\\\\Then\\\\\frac{b}{a} = \frac{d}{c}$

Therefore,

$\frac{12}{x - 3} = \frac{20}{x + 3}$

By reciprocal property,

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

The we get,

$\frac{x - 3}{12} = \frac{x + 3}{20}$

Thus option C is correct