Consider the system of simultaneous equations:
| Equation |
|---|
| 3x−2y=12 |
| y=mx−6 |
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.