Problem

Consider the system of simultaneous equations

\begin{cases} 3x - 2y = 12 \\ y = mx - 6 \end{cases}

. a. Find the gradient of each line. b. Hence determine the value of

m

for which the simultaneous equations do *not* have a unique solution. Explain what is happening in this case. c. For any other value of

m

, the system has a unique solution. Find this solution.