Respuesta :

4x+2(-2x+1)=-3
4x-4x+2=-3
2=-3 is not a true statement.

The answer is no solution

Answer:

The system of equations has no solution

Step-by-step explanation:

The method of substitution consists in solving one equation for a variable and replacing it in the other equation.

In this case one of the equations is already solved for one of the variables ([tex]y[/tex]):

[tex]y = -2x + 1[/tex]

So the next step is to plug this in the other equation wich is:

[tex]4x + 2y = -3[/tex]

So we will have

[tex]4x + 2(-2x + 1) = -3[/tex]

solving the parenthesis:

[tex]4x-4x -2= -3[/tex]

[tex]-2= -3[/tex]

wich is not a valid answer, so the system of equations has no solution.