Systems
In order for the system to have no solutions, the other equation should also have 3x, but the constant should be different.
y = 3x + 1
y = 3x - 7
If we substitute the first equation into the second one, the result will be:
3x + 1 = 3x - 7
Now if we try to solve, we get:
3x - 3x = -7 - 1
0x = -8
0 = -8
A false statement means no solution.