Determine whether the given ordered pair is a solution of the system.
\[
\begin{array}{l}
(5,3) \\
x-y=2 \\
x+y=3
\end{array}
\]

Is the ordered pair a solution of the system?
Yes
No

Step 1 ：Determine whether the given ordered pair is a solution of the system. The system is given by the equations \(x-y=2\) and \(x+y=3\). The ordered pair given is (5,3).

Step 2 ：To determine if the ordered pair is a solution to the system, we need to substitute the values of the ordered pair into the equations and see if they hold true. So we substitute \(x=5\) and \(y=3\) into the equations.

Step 3 ：After substituting the values of \(x\) and \(y\) into the first equation, we find that \(5-3=2\), which is true. So the first equation is satisfied.

Step 4 ：After substituting the values of \(x\) and \(y\) into the second equation, we find that \(5+3=8\), which is not equal to 3. So the second equation is not satisfied.

Step 5 ：Since both equations are not satisfied, the ordered pair (5,3) is not a solution to the system.

Step 6 ：Final Answer: \(\boxed{\text{No}}\)