Solve the system of equations using substitution.
y = −2x + 1
4x + 2y = −3
From the first equation, we know that y = -2x + 1.
Substituting this into the second equation, we get:
4x + 2(-2x + 1) = -3
Simplifying this equation, we get:
4x - 4x + 2 = -3
2 = -3
This is not a true statement, so there is no solution to this system of equations. It means the two lines do not intersect and are parallel.