Determine the number of solutions to this system of linear equations:

2x+y=6
4x+2y=8(1 point)

1 answer

The second equation is a multiple of the first equation. Therefore, the second equation does not provide any new information. Since the first equation is independent, it defines a line in the xy-plane. Thus, the system has infinitely many solutions that lie on this line. The answer is "infinitely many solutions."