To prove that (6,1) is a solution to the system, we have to evaluate it in each equation, if it satisfies both equations, then it's a solution to the system.
EVALUATING (6,1) IN THE FIRST QUESTION.
As you can observe, the given coordinated pair satisfies the first equation.
EVALUATING (6,1) IN THE SECOND EQUATION.
The pair also satisfies the second equation.
Therefore, (6,1) is a solution to the given system, the statement is true.