Determine the number of solutions to the system of linear equations
2x+y=6
4x+2y=8
To determine the number of solutions to the system of equations, we need to first check if the equations are consistent and independent.
First, let's simplify the second equation by dividing it by 2:
2x + y = 6
2x + y = 4
As we can see, the two equations represent the same line. This means that the system of equations is dependent and the two equations have an infinite number of solutions.
Therefore, the number of solutions to the system of linear equations 2x + y = 6 and 4x + 2y = 8 is infinite.