Answer: The system of equations is:
3x + y = 18
3x + y = 16
To determine how many solutions this system has, we can subtract the second equation from the first:
(3x + y) - (3x + y) = 18 - 16
0 = 2
This is a contradiction, since 0 can never be equal to 2. Therefore, there are no solutions to this system of equations. Geometrically, these two equations represent two parallel lines in a coordinate plane that never intersect, so there is no point that satisfies both equations at the same time.
Explanation: