Answer:
no solutions
Explanation:
In order for the system to have solutions, x and y must work for both equations.
The easiest way to solve this is the isolate the y variable on both equations and then solve for x:
1. x+y=5
y=5-x
2. x+y=6
y=6-x
Since the y variables for both equations should be the same, let us make a new equation:
6-x=5-x
6=5
Hmm... This doesn't seem to work! 6 does not equal to 5. Therefore, there are no solutions.
I hope this helps! Please let me know if you have any further questions :)