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7nadin3 [17]
3 years ago
13

را آزرا What is the value of x in the proportion?

Mathematics
2 answers:
KengaRu [80]3 years ago
7 0

Answer:

Step-by-step explanation:

Cross multiply on both sides

= (x + 1) (21) = 15(x + 3)

= 21x + 21 = 15x + 45

Bringing like terms on one side

21x - 15x = 45 - 21

= 6x = 24

x = 24/6 = 4

Option A is the correct answer

kherson [118]3 years ago
5 0
<h2><u>The correct option</u> :</h2>

=\tt (a) \:  4

<h2><u>Steps to derive correct option</u> :</h2>

=  \frac{x + 1}{x + 3}  =  \frac{15}{21}

=( x + 1 )\times 21 = (x + 3 )\times 15

= 21x + 21 = 15x + 45

= 21x + 21 - 15x = 45

= 6x + 21 = 45

= 6x = 45 - 21

= 6x = 24

= x =  \frac{24}{6}

=\color{plum} \bold{x = 4}

Let us now place 4 in the place of x and see if the substitution is equivalent to \frac{15}{21} :

=  \frac{4 + 1}{4 + 3}  =  \frac{15}{21}

=  \frac{5}{7}  =  \frac{15}{21}

=  \frac{5}{7}  =  \frac{15÷3}{21÷3}

=  \frac{5}{7}  =  \frac{5}{7}

Therefore, the value of x in this proportion = <u>4</u>

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