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 division; x = 48 Inverse operation is division; x = 48 Inverse operation is multiplication; x = 48 Inverse operation is multiplication; x = 48 Inverse operation is addition; x = 16

1 answer

To solve the equation \( \frac{x}{4} = 12 \) using inverse operations, we can use multiplication as the inverse operation to eliminate the fraction.

  1. Start with the equation: \[ \frac{x}{4} = 12 \]

  2. Multiply both sides by 4 (the inverse operation of division by 4): \[ x = 12 \times 4 \]

  3. Calculate \( 12 \times 4 \): \[ x = 48 \]

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