Determine the number of solutions to this system of linear equations:2x+y=6 4x+2y=8 (1 point)Responsesinfiniteinfinite22110
There are infinite solutions to this system of linear equations.
The reason for this is that the second equation, 4x+2y=8, is equivalent to the first equation, 2x+y=6, because both equations are multiples of each other. Thus, these equations represent the same line on a graph.
Since the two equations represent the same line, any point that satisfies one equation will also satisfy the other equation. Therefore, there are infinitely many points that satisfy both equations, and thus there are infinite solutions.