This system of linear equations represents two lines in a coordinate plane, and the number of solutions is determined by the relationship between the lines.
We can see that the second equation is simply a multiple of the first equation. Therefore, the two equations represent the same line and are dependent. In this case, there are infinitely many solutions because the two equations overlap completely.
Therefore, the system has infinitely many solutions.
Determine the number of solutions to this system of linear equations
2x+y=6
4x+2y=8
1 answer