Question

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

Answer 1

As inverse operation as division or multiplication

Answer 2

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 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 \( x = 48 \).