How many solutions does the system have? x + y = 5
x + y = 6

- none
- one
- two
- infinite

no solutions

Step-by-step 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 :)

i have no clue what you just said. write a question in english?