Question

Rearrange the following formula A=BC−D to solve for B. Make sure to show each step. Make sure your step matches the explanation on the right! (1 point)

Answer 1

To rearrange the formula \( A = BC - D \) to solve for \( B \), we can follow these steps:

1. **Add \( D \) to both sides**: This helps isolate the term with \( B \).
\[
A + D = BC
\]

2. **Divide both sides by \( C \)**: This will give us \( B \) by itself.
\[
B = \frac{A + D}{C}
\]

So, the rearranged formula to solve for \( B \) is:
\[
B = \frac{A + D}{C}
\]

Now we have successfully solved for \( B \) in the equation \( A = BC - D \).

Answer 2

instead of dividing C from both sides, multiply it

Answer 3

Certainly! If we want to rearrange the formula \( A = BC - D \) to solve for \( B \) and prefer to multiply instead of dividing by \( C \), we can do the following:

1. **Add \( D \) to both sides**: This step isolates the term containing \( B \).
\[
A + D = BC
\]

2. **Multiply both sides by \( C \)**: This changes the equation to encompass \( B \) directly without division at this step.
\[
C(A + D) = BC \cdot C
\]
However, this step isn’t necessary for isolating \( B \). You actually want to isolate \( B \).

So instead of multiplying, we go back to:

- **Add \( D \)**:
\[
A + D = BC
\]

- **Divide both sides by \( C \)** to isolate \( B \):
\[
B = \frac{A + D}{C}
\]

If you specifically want to maintain the multiplication aspect, you still must eventually divide to fully isolate \( B \). Thus, the effective solution remains:
\[
B = \frac{A + D}{C}
\]

If you had further modifications in mind, please specify!