Question
What can you do to bring the variables to the same side in the equation −4k+6=26+k?
Two of these are correct.
You can subtract 4k from both sides.
You can add k to both sides.
You can subtract k from both sides.
Two of these are correct.
You can subtract 4k from both sides.
You can add k to both sides.
You can subtract k from both sides.
Answers
GPT-4o mini
To bring the variables to the same side in the equation \(-4k + 6 = 26 + k\), you can choose either of the following two options:
1. **Subtract \(k\) from both sides**: This will give you
\(-4k - k + 6 = 26\), simplifying to \(-5k + 6 = 26\).
2. **Add \(4k\) to both sides**: This will result in
\(6 = 26 + k + 4k\), simplifying to \(6 = 26 + 5k\).
Both of these operations will allow you to move the variable terms to one side of the equation.
You cannot simultaneously solve by adding \(k\) to both sides, as that would not help in gathering all terms involving \(k\) on one side. The correct actions are:
- Subtract \(k\) from both sides.
- Subtract \(4k\) from both sides.
Therefore, the two correct options from the provided statements are:
- Subtract \(4k\) from both sides.
- Subtract \(k\) from both sides.
1. **Subtract \(k\) from both sides**: This will give you
\(-4k - k + 6 = 26\), simplifying to \(-5k + 6 = 26\).
2. **Add \(4k\) to both sides**: This will result in
\(6 = 26 + k + 4k\), simplifying to \(6 = 26 + 5k\).
Both of these operations will allow you to move the variable terms to one side of the equation.
You cannot simultaneously solve by adding \(k\) to both sides, as that would not help in gathering all terms involving \(k\) on one side. The correct actions are:
- Subtract \(k\) from both sides.
- Subtract \(4k\) from both sides.
Therefore, the two correct options from the provided statements are:
- Subtract \(4k\) from both sides.
- Subtract \(k\) from both sides.