In the following, which pairs contain like terms?
`5x, 5y`

Answer

To determine whether the pairs of terms contain like terms, we need to follow these steps:

### Step-by-Step Solution:

1. **Identify the Terms**: The given terms are \(5x\) and \(5y\).

2. **Understand Like Terms**: Like terms are terms that have the same variable(s) raised to the same power. For example, \(3x^2\) and \(5x^2\) are like terms because they both have the variable \(x\) raised to the power of 2.

3. **Examine the Variables**:
- The first term \(5x\) has the variable \(x\).
- The second term \(5y\) has the variable \(y\).

4. **Compare the Variables**: Since \(x\) and \(y\) are different variables, the two terms \(5x\) and \(5y\) cannot be like terms.

5. **Conclusion**: Therefore, the terms \(5x\) and \(5y\) are not like terms; they are unlike terms.

### Final Answer:
The pairs \(5x\) and \(5y\) do not contain like terms.

---