1. 6-3 & 6-4 Elimination Goals: Solve systems using linear combinations.
Interpret solutions to special problems.
Eligible Content:
A / A

2. Practice
Complete Worksheet – “Mythical Math”

3. Special Problems No solution Many solutions
There is no point in common
All variables will cancel out
You will be left with a false statement: 4 = 12
Many solutions
There are many points in common
You will be left with a true statement: 5 = 5

4. Examples 2x + y = 5 4x + 2y = 10 Many solutions –6x + 2y = –8
No solution
4x – 2y = 14
6x – 3y = 18
No solution
–x + 2y = –2
3x – 6y = 6
Many solutions

5. Use elimination to solve the system of equations
Use elimination to solve the system of equations. 3x – 2y = 3 –6x + 4y = –6
A. one; (0, 0)
B. no solution
C. infinitely many solutions
D. cannot be determined

6. Practice (not all problems are special)
–2x – 3y = 6
4x + 6y = –12
4x + 2y = –5
4x + 2y = –6
–2x + 6y = 6
3x + 7y = 23
many solutions No solution (3, 2)

7. Homework
Page 354 #14-18 even
Page 360 #14-18 even