Which of the following uses the reciprocal property to rewrite 12x−3=20x+3? x−312=20x+3 x−320=12x+3 12x+3=20x−3 x−312=x+320

Step 1 Given, The equation, 12x−3=20x+3 Step 2 The reciprocal property is , If two fractions are equal then their reciprocals are also equal. That is, If ab=cd then ba=dc Step 3 The reciprocal of 12x−3 is x−312. The reciprocal of 20x+3 is x+320. Therefore, by using reciprocal property, x−312=x+320 Thus, x−312=x+320 uses the reciprocal property to rewrite 12x−3=20x+3

Question: "Which of the following uses the reciprocal property..."

Liesehf

Answered question

2021-11-17

Which of the following uses the reciprocal property to rewrite

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

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

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

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

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

Answer & Explanation

Momp1989

Beginner2021-11-18Added 21 answers

Step 1
Given,
The equation,

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

Step 2
The reciprocal property is ,
If two fractions are equal then their reciprocals are also equal.
That is,
If

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

then

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

Step 3
The reciprocal of

\frac{12}{x - 3} i s \frac{x - 3}{12}

.
The reciprocal of

\frac{20}{x + 3} i s \frac{x + 3}{20}

.
Therefore, by using reciprocal property,

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

Thus,

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

uses the reciprocal property to rewrite

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

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