Does the point (2, 3) lie on line of graph of `3x – 2y = 5`.

Answer

To determine whether the point (2, 3) lies on the line represented by the equation \(3x - 2y = 5\), we will substitute the coordinates of the point into the equation and see if the equation holds true.

### Step-by-Step Solution:

1. **Identify the equation of the line**:
The equation given is:
\[ 3x - 2y = 5 \]

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

3. **Calculate the left-hand side (LHS)**:
Now, calculate the left-hand side:
\[ 3(2) = 6 \quad \text{and} \quad -2(3) = -6 \]
Therefore,
\[ LHS = 6 - 6 = 0 \]

4. **Compare LHS with the right-hand side (RHS)**:
The right-hand side (RHS) of the equation is:
\[ RHS = 5 \]
Now, we compare LHS and RHS:
\[ LHS = 0 \quad \text{and} \quad RHS = 5 \]

5. **Conclusion**:
Since \(LHS \neq RHS\) (0 is not equal to 5), the point (2, 3) does not satisfy the equation of the line. Therefore, the point (2, 3) does not lie on the line represented by the equation \(3x - 2y = 5\).

### Final Answer:
No, the point (2, 3) does not lie on the line of the graph of \(3x - 2y = 5\).