ANSWER
It is not a solution.
EXPLANATION
To find if the point is a solution to the system of equations, we have to replace the values of x and y with 3 and 2 respectively in both equations.
If the solution satisfies both equations, then, it is a solution of the system of equations.
We have:
2 = 4(3) - 10
2 = 12 - 10
2 = 2
Since both sides are equal, it is a solution of the equation.
2 = 3(3) - 6
2 = 9 - 6
2 = 3
Since both sides are not equal, it is not a solution of the equation.
Therefore, the point (3, 2) is not a solution to the system of equations because it is not a solution of both equations.