Chapter 1.1, Problem 24E

Consider the system of equations

$\begin{array}{l}ax+by=k\\ cx+dy=l\\ ex+fy=m\end{array}$

Discuss the relative positions of the lines $ax+by=k$, $cx+dy=l$, and $ex+fy=m$ when

1. a. the system has no solutions.
2. b. the system has exactly one solution.
3. c. the system has infinitely many solutions.