The systems with one solution are:
[tex]\begin{cases}y=ax+b \\ y=cx+d\end{cases}[/tex]
and
[tex]\begin{cases}y=2ax+b \\ y=ax+b\end{cases}[/tex]
There system with no solution is:
[tex]\begin{cases}y=ax+b \\ y=ax+d\end{cases}[/tex]
And the system with infinitely many solutions is:
[tex]\begin{cases}3y=3ax+3b \\ y=ax+b\end{cases}[/tex]
