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

Question

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

0
0

1
1

infinite
infinite

2
2

Answer 1

In this system of equations, the second equation is simply twice the first equation. This means that the two equations represent the same line. Therefore, they are dependent equations and have infinite solutions. The answer is: infinite.