System of Equations
We are given the system of equations:
2x + 3y = 6
-8x - 12y = -20
To try to solve it, we multiply the first equation by 4:
8x + 12y = 24
And add it to the second equation:
-8x + 8x - 12y + 12y = -20+ 24
All the variables cancel out:
0 = 4
This last false equation comes from the fact that we tried to find a solution to the system that does not have any solution.
This happens because the lines represented by each equation are parallel and parallel lines never meet.
Answer: The system has 0 solutions