Question

What can you do to bring the variables to the same side in the equation 14r−7=3r+4?

You can subtract 3r from both sides.

Two of these are correct.

You can add 14r to both sides.

You can add 3r to both sides.

Answer 1

To bring the variables to the same side in the equation \( 14r - 7 = 3r + 4 \), you can use the following steps:

1. **Subtract \( 3r \) from both sides**:
\[
14r - 3r - 7 = 4
\]
This simplifies to:
\[
11r - 7 = 4
\]

2. **Alternatively, you can add \( -14r \) (or subtract \( 14r \)) from both sides**:
\[
-7 = 3r + 4 - 14r
\]
This simplifies to:
\[
-7 = -11r + 4
\]

However, adding \( 14r \) to both sides is not valid in this context since you’d be moving it to the left side which will not consolidate the variable terms properly; rather, it would create more complexity.

So, the correct valid steps to bring variables to the same side are:
- Subtract \( 3r \) from both sides.
- You cannot correctly add \( 14r \) to both sides.

Therefore, the correct statement is that you can subtract \( 3r \) from both sides or use the alternative method mentioned.

So the correct response is:
1. **You can subtract 3r from both sides.**
2. **You can add \( -14r \) (or subtract 14r) to both sides.**

Only the first part of your choices is correct (subtracting \( 3r \) from both sides).