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

Question

Responses

Answer 1

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

1. Multiply both sides by 4 (the inverse operation of division by 4) to isolate \( x \):

   \[ x = 12 \times 4 \]

2. Calculate the right-hand side:

   \[ x = 48 \]

So, the solution to the equation is \( x = 48 \).

Answer 2

As inverse operation as division or multiplication

Answer 3

In the context of your equation \( \frac{x}{4} = 12 \), the inverse operations can be understood as the following:

1. Dividing by 4: The original equation divides \( x \) by 4.
2. Multiplying by 4: To isolate \( x \) and move the division to the other side of the equation, you use the inverse operation, which is multiplying by 4.

Here's a detailed step-by-step again:

• Start with the original equation: \[ \frac{x}{4} = 12 \]

• To eliminate the division by 4, multiply both sides of the equation by 4: \[ 4 \times \frac{x}{4} = 12 \times 4 \]

• This simplifies to: \[ x = 48 \]

Thus, multiplication (which is the inverse operation of division) is used to solve for \( x \). So in your question, when referring to the inverse operation, it is multiplication that is used to "undo" the division by 4.

Therefore, the final answer remains \( x = 48 \).