Determine the number of solutions of this system of linear equations

x + 2y = -4
4x + 8y = -16

1 answer

The second equation is simply the first equation multiplied by 4. This means that the second equation is redundant and does not provide any new information.

Therefore, these two equations represent the same line. The system is consistent and dependent, meaning it has infinitely many solutions. The solutions lie on the line represented by the equation x + 2y = -4.