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3.5

1. 1. CHAPTER 3 LINEAR SYSTEMS3.5 Systems with three variables Part 1 - elimination
2. 2. Page 164GRAPHS IN THREE DIMENSIONS
3. 3. Page 166SYSTEMS WITH THREE VARIABLES We can represent three relationships involving three unknowns with a system of equations. We can represent systems of equations in three variables as graphs in three dimensions – the solutions of a three variable system can be shown as the intersection of planes
4. 4. SOLVING SYSTEMS WITH THREE VARIABLESBY ELIMINATION
5. 5. EXAMPLE: SOLVE BY ELIMINATION
6. 6. EXAMPLE: SOLVE BY ELIMINATION
7. 7. EXAMPLE: SOLVE BY ELIMINATION
8. 8. EXAMPLE: SOLVE BY ELIMINATION
9. 9. ASSIGNMENT Page 171 #8, 9 – 19 odd
10. 10. CHAPTER 3 LINEAR SYSTEMS3.5 Systems with three variables Part 2 - subsitution
11. 11. SOLVING SYSTEMS WITH THREE VARIABLESBY SUBSTITUTION
12. 12. EXAMPLE: SOLVE BY SUBSTITUTION
13. 13. EXAMPLE: SOLVE BY SUBSTITUTION
14. 14. EXAMPLE: SOLVE BY SUBSTITUTION
15. 15. ASSIGNMENT Page 172 #21 – 29 odd, 33, 36, 39