State true or false :
If 5 is constant and y is variable, then 5y and 5 + y are variables

Answer

To determine whether the statement is true or false, we need to analyze the expressions given in the question: \(5y\) and \(5 + y\).

### Step-by-Step Solution:

1. **Identify Constants and Variables**:
- We are given that \(5\) is a constant.
- We are given that \(y\) is a variable.

2. **Evaluate the Expression \(5y\)**:
- The expression \(5y\) means \(5\) multiplied by \(y\).
- Since \(5\) is constant and \(y\) can take different values, the product \(5y\) will also change as \(y\) changes.
- Therefore, \(5y\) is a variable because its value depends on the value of \(y\).

3. **Evaluate the Expression \(5 + y\)**:
- The expression \(5 + y\) means \(5\) added to \(y\).
- Here, \(5\) is constant, and \(y\) is variable. As \(y\) changes, the sum \(5 + y\) will also change.
- Therefore, \(5 + y\) is also a variable because its value depends on the value of \(y\).

4. **Conclusion**:
- Since both \(5y\) and \(5 + y\) are variables (their values change with \(y\)), the statement "If \(5\) is constant and \(y\) is variable, then \(5y\) and \(5 + y\) are variables" is **True**.

### Final Answer:
**True**