Question 3 (Multiple Choice Worth 1 points) (05.02 LC) Solve the system of equations using substitution. \( \begin{array}{l}y=-2 x+1 \\ 4 x+2 y=-2\end{array} \)

To solve the system of equations using substitution, we start with the first equation: \(y = -2x + 1\). We can substitute this expression for \(y\) in the second equation, \(4x + 2y = -2\). Replacing \(y\) will yield: \(4x + 2(-2x + 1) = -2\). Simplifying this gives: \(4x - 4x + 2 = -2\), which simplifies to: \(2 = -2\). Since this is a false statement, it indicates that the system of equations is inconsistent, meaning there are no solutions. Now, let’s explore how such systems can arise! Sometimes, lines represented by these equations will never intersect, meaning they are parallel. For those tackling similar problems, double-check the equations' coefficients to identify parallel lines quickly!