when they have no solutions, the lines are parlaell, or they have the same slope but different y intercept example
3x+2y=2 and 3x+2y=4 are paralell also y=3x+2 and y=3x+4 are also parlell, no solutions
infinite solutions are when they are the same line they have the same slope and y intercept to find out, simplify 3x+2y=4 and 6x+4y=8 are smae lien also y=3x+2 and 2y=6x+4 aer the same line
1 solution is when it is none of the above things a normal thing, where the slopes are differnet example y=2x+2 y=3x+2