To determine if the coordinate (3, 1) is a solution to the system of equations, we will substitute \(x = 3\) and \(y = 1\) into both equations and see if they hold true.
- For the first equation, \(2x - 6y = 0\):
\[ 2(3) - 6(1) = 6 - 6 = 0 \]
This is true.
- For the second equation, \(3x - 4y = 5\):
\[ 3(3) - 4(1) = 9 - 4 = 5 \]
This is also true.
Since both equations are satisfied by the point (3, 1), the answer is:
Yes, it is a solution.