determine the number of solutions to the system of linear equations 2x+y=6 and 4x+2y=8
1 answer
There are infinitely many solutions to the given system of linear equations since the two equations are essentially equivalent. The second equation is simply a multiple of the first equation, so the two equations represent the same line. Therefore, any point that satisfies one of the equations will automatically satisfy the other equation, resulting in infinitely many solutions.