The solutions to the system of equations are given by: (0,1) and (-1,-3).
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the equations are given by:
y = 2x² + 6x + 1.
y = -4x² + 1.
The solutions are given by:
2x² + 6x + 1 = -4x² + 1.
6x² + 6x = 0
6x(x + 1) = 0
6x = 0 -> x = 0.
x + 1 = 0 -> x = -1.
y = -4 x 0^2 + 1 = 1.
y = -4 x (-1)^2 + 1 = -3.
The solutions to the system of equations are given by: (0,1) and (-1,-3).
More can be learned about a system of equations at https://brainly.com/question/24342899
