1. SYSTEMS

2. System of Equations 1. Two or more equations
2. Designated by the symbol {

3. Solution to a System
An ordered pair that works in ALL the equations of the system.
On a graph, this is the point of intersection of the lines.

4. Same slopes with different y-intercepts
If the systems have:
Different Slopes
Same slopes with different y-intercepts
Same slopes with the same y-intercepts
Type of System:
Number of Solutions

5. Same slopes with different y-intercepts
If the systems have:
Different Slopes
Same slopes with different y-intercepts
Same slopes with the same y-intercepts
Type of System:
Intersecting lines
Number of Solutions

6. Same slopes with different y-intercepts
If the systems have:
Different Slopes
Same slopes with different y-intercepts
Same slopes with the same y-intercepts
Type of System:
Intersecting lines
Number of Solutions
One

7. Same slopes with different y-intercepts
If the systems have:
Different Slopes
Same slopes with different y-intercepts
Same slopes with the same y-intercepts
Type of System:
Intersecting lines
Parallel
Number of Solutions
One

8. Same slopes with different y-intercepts
If the systems have:
Different Slopes
Same slopes with different y-intercepts
Same slopes with the same y-intercepts
Type of System:
Intersecting lines
Parallel
Number of Solutions
One
Zero

9. Same slopes with different y-intercepts
If the systems have:
Different Slopes
Same slopes with different y-intercepts
Same slopes with the same y-intercepts
Type of System:
Intersecting lines
Parallel
Same line
Number of Solutions
One
Zero

10. Same slopes with different y-intercepts
If the systems have:
Different Slopes
Same slopes with different y-intercepts
Same slopes with the same y-intercepts
Type of System:
Intersecting lines
Parallel
Same line
Number of Solutions
One
Zero
Infinitely Many

11. Assignment
7.1: 2 – 38 (evens)