College

We appreciate your visit to Which equation is equivalent to tex 4x 6 x 9 tex A tex 3x 3 tex B tex 3x 6 9 tex C tex 6. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Which equation is equivalent to [tex]4x - 6 = x + 9[/tex]?

A. [tex]3x = 3[/tex]
B. [tex]3x - 6 = 9[/tex]
C. [tex]-6 = 6x + 9[/tex]
D. [tex]-2x = x + 90[/tex]

Answer :

To find the equivalent equation to 4x - 6 = x + 9, we subtract x from both sides resulting in 3x - 6 = 9, which is an option (B). This step involves only moving terms to arrange the equation, not solving for x.

The student's question asks for the equivalent equation to 4x - 6 = x + 9. To find the equivalent equation, we need to isolate the variable x on one side. Here's a step-by-step calculation:

  • Subtract x from both sides: 4x - x - 6 = 9
  • Simplify the equation: 3x - 6 = 9
  • Add 6 to both sides: 3x = 15
  • Divide both sides by 3 to solve for x: x = 5

However, the question asks which one is equivalent to the original equation, not the value of x. The correct equivalent equation is 3x - 6 = 9 (B) since it follows directly from subtracting x from both sides and it has not been further simplified to solve for x.

Thanks for taking the time to read Which equation is equivalent to tex 4x 6 x 9 tex A tex 3x 3 tex B tex 3x 6 9 tex C tex 6. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Hello detailed answer is in the file below, good luck!