Solve the equation using the inverse operation: x/4 = 12(1 point) Responses Inverse operation is subtraction; x = 8 Inverse operation is subtraction; x = 8 Inverse operation is addition; x = 16 Inverse operation is addition; x = 16 Inverse operation is multiplication; x = 48 Inverse operation is multiplication; x = 48 Inverse operation is division; x = 48

1 answer

To solve the equation \( \frac{x}{4} = 12 \) using inverse operations, we need to get \( x \) by itself.

  1. The current operation is division by 4. The inverse operation of division is multiplication.
  2. Multiply both sides of the equation by 4:

\[ x = 12 \times 4 \]

  1. Calculate \( 12 \times 4 = 48 \).

So, the solution is:

\[ x = 48 \]

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