In order for an equation to have no solutions, it needs to be inconsistent. Therefore:
[tex]6x-3x+4-2x=1x+0[/tex]
For one equation to have a single solution, it needs to be consistent. Therefore:
[tex]6x-3x+4-2x=2x+3[/tex]
For one equation to have infintely many solutions, the unkown variable must cancel itself, but the constant part must be consistent:
[tex]6x-3x+4-2x=1x+4[/tex]
