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# Pc 7.1 notes

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### Pc 7.1 notes

1. 1. February 27, 2012Warm-up:Graph the following equations. 1
2. 2. February 27, 20127.1 Linear and NonlinearSystemsEssential Question:How do you use substitution and graphing to solvesystems of equations?Standard: Linear Algebra 1.0 2
3. 3. February 27, 2012Substitution-1. Solve one equation for one variable (in terms of theother).2. Substitute into the second equation.3. Solve new equation.4. Back-substitute to find the other variable.5. Check solutions in BOTH original equations. 3
4. 4. February 27, 2012Ex. 1) Solve the system by substitution. 4
5. 5. February 27, 2012Ex. 2) Solve the system by substitution. 5
6. 6. February 27, 2012Ex. 3) Solve the system by substitution. 6
7. 7. February 27, 2012Ex. 4) A total of \$25,000 is invested in two funds paying7% and 4% simple interest. The yearly interest is \$1405.How much is invested at each rate? 7
8. 8. February 27, 2012Assignment:7.1 p. 503 #2, 5, 9,11, 17, 21, 27, 35, 67 8