Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

What is the value of [tex]\( x \)[/tex] in the rational equation [tex]\( \frac{27}{9} = \frac{3x}{9} \)[/tex]?

A. 9
B. 243
C. 3
D. 27

Sagot :

GinnyAnswer
Let's solve the rational equation [tex]\(\frac{27}{9} = \frac{3x}{9}\)[/tex] step-by-step.

1. Simplify the left-hand side of the equation:
[tex]\[ \frac{27}{9} = 3 \][/tex]

2. Rewrite the equation with the simplified left-hand side:
[tex]\[ 3 = \frac{3x}{9} \][/tex]

3. Isolate [tex]\(3x\)[/tex] by multiplying both sides of the equation by 9:
[tex]\[ 3 \times 9 = 3x \][/tex]
[tex]\[ 27 = 3x \][/tex]

4. Solve for [tex]\(x\)[/tex] by dividing both sides of the equation by 3:
[tex]\[ \frac{27}{3} = x \][/tex]
[tex]\[ x = 9 \][/tex]

Therefore, the value of [tex]\(x\)[/tex] in the equation [tex]\(\frac{27}{9} = \frac{3x}{9}\)[/tex] is [tex]\( \boxed{9} \)[/tex].
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.