QUESTION A
The solutions to the system of equations are the point of intersection of the quadratic graph and the straight line.
The two curves intersected at two points. Hence there are two real solutions.
The solutions are (-3,-1) and (-6,5).
QUESTION B.
The straight line is a tangent to the quadratic graph.
This means that the straight line intersected the quadratic graph at only one point.
The system has only one real solution.
The solution is (4,3).
QUESTION C
The quadratic graph and the straight line intersected at two distinct points.
The system has two real solutions.
The solutions are (0,3) and (6,-3).
QUESTION D
The two graphs are hanging apart.
There is no point of intersection.
The system has no real solutions.
QUESTION E
The straight line and the quadratic curve intersected at two distinct points.
The system has two real solutions.
The solutions are (0,0) and (1,1).
QUESTION F
The two curves intersected at only one point.
There is only one real solution to the system.
The solution is (-1,5).
