For this case we have the following system of equations:
[tex]y = -2x + 1\\4x + 2y = -2[/tex]
To solve, we follow the steps below:
We substitute the first equation in the second one:
[tex]4x + 2 (-2x + 1) = - 2[/tex]
We apply distributive property to the terms within parentheses:
[tex]4x-4x + 2 = -2\\2 = -2[/tex]
Equality is not fulfilled. For any value of "x" equality will never be true.
Thus, the system has no solution.
Answer:
Option A
