Question

Solve 12x - 51 = 4.

A. x = -4.5 or x = 4.5
B. x = 0.5 or x = 4.5
C. x = 10.5
D. None of the above

Answer 1

To solve the equation 12x - 51 = 4, you add 51 to both sides and then divide by 12, which yields x = 4.5833..., equivalent to x = 4.6 when rounded. This does not match any of the given options, so the answer is D. None of the above.

Step-by-step explanation:

To solve the equation 12x - 51 = 4, we will first isolate the variable x on one side of the equation. Here are the steps:

1. Add 51 to both sides of the equation to move the constant term to the right side:
   12x - 51 + 51 = 4 + 51, which simplifies to 12x = 55.
2. Divide both sides of the equation by 12 to solve for x:
   12x / 12 = 55 / 12, which simplifies to x = 55 / 12.
3. Perform the division to find the value of x:
   x = 4.5833...

Therefore, the solution is x = 4.5833..., which can be rounded to x = 4.6 if necessary. This corresponds to none of the multiple-choice answers provided, so the correct answer is D. None of the above.