3.1 Solving Linear Systems by Graphing
4x + y = 8
2x ­ 3y = 18
Oct 1­11:32 AM
Classifying Linear Systems
A system with at least one solution is consistent.
(the lines intersect once or always)
A consistent system with exactly one solution is independent. (consistent and independent)
(the lines intersect once)
A consistent system with infinitely many solutions is dependent. (consistent and dependent)
(the lines intersect always)
A system with no solution is inconsistent.
(the lines are parallel)
Oct 1­11:37 AM
Solve by graphing and classify:
4x ­ 3y = 12
8x ­ 6y = 24
Oct 1­11:49 AM
1
Solve by graphing and classify:
2x + y = 4
2x + y = 1
Oct 1­11:49 AM
2