Final answer:
After substituting (2,0) into both equations, 3x - 2y = 6 and x - y = 2, and confirming that the left side of the equations equals the right side, we can conclude that (2,0) is a solution to the system.
Step-by-step explanation:
To determine if (2,0) is a solution to the system of equations 3x - 2y = 6 and x - y = 2, we substitute the values x=2 and y=0 into both equations to see if the equations are satisfied.
For the first equation, 3x - 2y = 6:
3(2) - 2(0) = 6
6 = 6 ✔
For the second equation, x - y = 2:
2 - 0 = 2
2 = 2 ✔
Since (2,0) satisfies both equations, it is indeed a solution to the system of equations.