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

Responses

Inverse operation is division; x = 48
Inverse operation is division; x = 48

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

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

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

1 answer

To solve the equation \( \frac{x}{4} = 12 \) using inverse operations, we can follow these steps:

  1. The equation involves division by 4. To isolate \( x \), we need to perform the inverse operation, which is multiplication.

  2. Multiply both sides of the equation by 4:

    \[ x = 12 \times 4 \]

  3. Calculate the right side:

    \[ x = 48 \]

So, the correct response is:

Inverse operation is multiplication; x = 48.