For this case we have the following system of equations:
[tex]y = -2x + 1\\4x + 2y = -3[/tex]
To solve, we substitute the first equation in the second one:
[tex]4x + 2 (-2x + 1) = - 3\\4x-4x + 2 = -3\\2 = -3[/tex]
The equality is not fulfilled, therefore the system has no solution.
Answer:
Option B
The system has no solution