State, true or false :
if the point (2, a) lies on the line `2x - y = 3` , then `a = 5`. 

Answer

To determine whether the statement "if the point (2, a) lies on the line 2x - y = 3, then a = 5" is true or false, we will substitute the point (2, a) into the equation of the line and solve for 'a'.

### Step-by-Step Solution:

1. **Write down the equation of the line**:
The equation given is:
\[ 2x - y = 3 \]

2. **Substitute the point (2, a) into the equation**:
Here, \( x = 2 \) and \( y = a \).
Substitute these values into the equation:
\[ 2(2) - a = 3 \]

3. **Simplify the equation**:
Calculate \( 2(2) \):
\[ 4 - a = 3 \]

4. **Solve for 'a'**:
To isolate 'a', we can rearrange the equation:
\[ -a = 3 - 4 \]
\[ -a = -1 \]
Now, multiply both sides by -1:
\[ a = 1 \]

5. **Conclusion**:
The value of 'a' we found is 1, not 5. Therefore, the statement "if the point (2, a) lies on the line 2x - y = 3, then a = 5" is **false**.