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# 3.2.1 substitution

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### 3.2.1 substitution

1. 1. 3.2 Solve Linear Systems Algebraically<br />The Substitution Method<br />
2. 2. Substitution<br />To replace one thing with another of equal value.<br />
3. 3. Substitution<br />To replace one thing with another of equal value.<br />
4. 4. Solve a Linear System Using Substitution<br />Identify a term <br />with a coefficient <br />of 1 or -1<br />
5. 5. Solve a Linear System Using Substitution<br />Solve that equation<br />for that variable<br />Substitute this <br />expression in the <br />OTHER equation<br />Solve<br />
6. 6. Solve a Linear System Using Substitution<br />Substitute this <br />value in the <br />altered equation<br />Simplify<br />
7. 7. Solve a Linear System Using Substitution<br />(-30, 11)<br />Write the solution<br />as an ordered<br />pair<br />
8. 8. Example 2<br />(4, 4)<br />
9. 9. Example 3<br /><br />Means the<br />solution<br />does not <br />exist<br />Nonsense!<br />
10. 10. Example 3<br />y=1/2x- 7/2<br />Means there<br />are infinitely<br />many<br />solutions<br />True, but not helpful.<br />
11. 11. assignment<br />p. 164 # 1 - 11 odd<br />