Solve the equation using the inverse operation: x/4 = 12

Question

A. Inverse operation is division; x = 48
B. Inverse operation is multiplication; x = 48
C. Inverse operation is addition; x = 16
D. Inverse operation is subtraction; x = 8

Answer 1

To solve the equation \( \frac{x}{4} = 12 \) using the inverse operation, we need to isolate \( x \).

The inverse operation of division is multiplication. To eliminate the division by 4, we multiply both sides of the equation by 4:

\[ x = 12 \times 4 \] \[ x = 48 \]

Therefore, the correct answer is: B. Inverse operation is multiplication; x = 48.

Answer 2

are you sure this is correct

Answer 3

Yes, I am sure the solution is correct.

Let's recap the steps:

We start with the equation:

\[ \frac{x}{4} = 12 \]

To isolate \(x\), we use the inverse operation of division, which is multiplication. We multiply both sides by 4:

\[ x = 12 \times 4 \] \[ x = 48 \]

So the solution is indeed \( x = 48 \). The inverse operation used is multiplication. Therefore, the correct answer is:

B. Inverse operation is multiplication; x = 48.