Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

What is the value of [tex]\( x \)[/tex] in the rational equation [tex]\( \frac{8}{2x} = \frac{12}{15} \)[/tex]?

A. 11.25
B. 10
C. 5
D. [tex]\( 6 \frac{2}{5} \)[/tex]

Sagot :

GinnyAnswer
To find the value of [tex]\( x \)[/tex] in the rational equation [tex]\(\frac{8}{2x} = \frac{12}{15}\)[/tex], follow these steps:

1. Write down the given equation:
[tex]\[ \frac{8}{2x} = \frac{12}{15} \][/tex]

2. Cross-multiply to eliminate the fractions:
[tex]\[ 8 \times 15 = 12 \times 2x \][/tex]

3. Calculate the products on both sides:
[tex]\[ 120 = 24x \][/tex]

4. Solve for [tex]\( x \)[/tex] by isolating it on one side of the equation. To do this, divide both sides by 24:
[tex]\[ x = \frac{120}{24} \][/tex]

5. Simplify the fraction:
[tex]\[ x = 5 \][/tex]

Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 5 \)[/tex].

The correct answer is:
[tex]\[ 5 \][/tex]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.