The given ordered pair for this system is (5, 3).
The ordered pair is the solution of the system it must be satisfy both the equations.
Substitute \(x=5\) and \(y=3\) in the left side of the equation (1).
Substitute \(x=5\) and \(y=3\) in the left side of the equation(2)
Since the ordered pair satisfies the system of linear equations.
Hence, the ordered pair (5, 3) is a solution to the given system of linear equations.