The image above shows the three different solution sets that can be achieved when two linear equations are graphed. From this image you should be able to work out the relationships between gradients and y-intercepts in each case.
Desmos graphing demonstration to illustrate concepts of different solution sets.
Using the determinant to identify number of solutions
Illustrating that if equations are rearranged to y=mx + c format then by inspecting the gradients and y-intercepts we can determine how many solutions there will be.
Part 1 gives you the CAS commands and resulting output when trying to solve two equations that have no unique solution (parallel lines).
As per Part 1 - this time with coincident lines and infinite solutions.