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.
