Solve the equation using the inverse operation: x/4 = 12(1 point)

Responses

Inverse operation is multiplication; x = 48
Inverse operation is multiplication; x = 48

Inverse operation is addition; x = 16
Inverse operation is addition; x = 16

Inverse operation is subtraction; x = 8
Inverse operation is subtraction; x = 8

Inverse operation is division; x = 48

1 answer

To solve the equation \( x/4 = 12 \) using inverse operations, we need to isolate \( x \).

  1. The inverse operation of division (in this case, dividing \( x \) by 4) is multiplication.
  2. To eliminate the division, we multiply both sides of the equation by 4:

\[ x/4 \cdot 4 = 12 \cdot 4 \]

This simplifies to:

\[ x = 48 \]

Therefore, the correct response is:

Inverse operation is multiplication; x = 48