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Pc 7.2 notes

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Pc 7.2 notes

1. 1. February 29, 20127.2 Systems ofEquationsEssential Question:What are the methods for solving a system of equationsand their types of solutions?Standard: Linear Algebra 1.0 1
2. 2. February 29, 2012Methods for Solving Systems ofLinear Equations- 1. 2. 3. 2
3. 3. February 29, 2012Elimination Method:1. Get coefficients for one variable that differ onlyin sign by multiplying all terms in one or bothequations.2. Add equations to eliminate one variable and solve.3. Back-substitute the value and solve for remainingvariables.4. Check solution in all original equations. 3
4. 4. February 29, 2012Ex. 1) Solve this system. 4
5. 5. February 29, 2012Types of Solutions: 5
6. 6. February 29, 2012Ex. 2) Solve the system. 6
7. 7. February 29, 2012Ex. 3) Solve the system. 7
8. 8. February 29, 2012Assignment:7.2 p. 515 #11, 15,19, 21, 25, 32, 39 8