Classifying Systems
There are 2 possible outcomes when we check our solution.
It works
or
We call these:
But careful for this trickster:
x+y=5
2x + 2y = 10
Check the following solutions and see what happens:
s.s {(1, 4)}
s.s {(2, 3)}
s.s. {(-2, 7)}
What do you notice?
You can clarify the systems quickly by keeping the following in mind:
It doesn’t work
Examples: Classify the following systems
x + 5y = 9
3x – 2y = 12
6x = 4y = -15
21x +14y = 22
Determine the value of Q that will make the system consistent – independent
8x + 2y = 10
28x + Qy = 35