1. 3.2 - Solving Systems through Substitution
Page 156
15) C
17)
Consistent, Independent
19)
Inconsistent
21)
Consistent, Dependent
23)
Consistent, Independent
25)
Consistent, Dependent
27)
29) A
35)
Lifeguard: 6 hours, Cashier: 8 hours
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3.2 - Solving Systems through Substitution

2. 3.2: Solving Systems using Elimination
Substitution WKST
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3.2: Solving Systems using Elimination

3. 3.2: Solving Systems using Elimination
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3.2: Solving Systems using Elimination

4. Solving Systems with Elimination
Section 3.2
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3.2: Solving Systems using Elimination

5. 3.2: Solving Systems using Elimination
Steps in Elimination
AKA: “Linear Combination”
ARRANGE equations in like terms and multiply a term to attempt to cancel out a variable
ADD the variables where at least one variable cancels out
REPLACE the value into either equation
CHECK the solution
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3.2: Solving Systems using Elimination

6. 3.2: Solving Systems using Elimination
Example 1
Solve using Elimination
1. ARRANGE equations in like terms and multiply a term to attempt to cancel out a variable
(2)
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3.2: Solving Systems using Elimination

7. Example 1 (2) Solve using Elimination
2. ADD the variables where at least one variable cancels out
(2)
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3.2: Solving Systems using Elimination

8. Example 1 3. REPLACE the value into either equation
Solve using Elimination
3. REPLACE the value into either equation
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3.2: Solving Systems using Elimination

9. 3.2: Solving Systems using Elimination
Example 1
Solve using Elimination
4. CHECK the solution
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3.2: Solving Systems using Elimination

10. 3.2: Solving Systems using Elimination
Your Turn
Solve using Elimination
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3.2: Solving Systems using Elimination

11. 3.2: Solving Systems using Elimination
Example 2
Solve using Elimination
1. ARRANGE equations in like terms and multiply a term to attempt to cancel out a variable
(3)
Cancel the X’s
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3.2: Solving Systems using Elimination

12. 3.2: Solving Systems using Elimination
Example 2
Solve using Elimination
1. ARRANGE equations in like terms and multiply a term to attempt to cancel out a variable
(2)
Cancel the X’s
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3.2: Solving Systems using Elimination

13. Example 2 Solve using Elimination
2. ADD the variables where at least one variable cancels out
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3.2: Solving Systems using Elimination

14. Example 2 Solve using Elimination
3. REPLACE the value into either equation
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3.2: Solving Systems using Elimination

15. 3.2: Solving Systems using Elimination
Example 2
Solve using Elimination
4. CHECK the solution
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3.2: Solving Systems using Elimination

16. 3.2: Solving Systems using Elimination
Example 3
Solve using Elimination
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3.2: Solving Systems using Elimination

17. 3.2: Solving Systems using Elimination
Your Turn
Solve using Elimination
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3.2: Solving Systems using Elimination

18. 3.2: Solving Systems using Elimination
Example 4
A nut wholesaler sells a mix of peanuts and cashews. The wholesaler charges $2.80 per pound for peanuts and $5.30 per pound for cashews. The mix is to sell for $3.30 per pound. How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix?
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3.2: Solving Systems using Elimination

19. 3.2: Solving Systems using Elimination
Example 5
Lynn needs 70 liters of 50% alcohol solution. She has 30% of alcohol solution and an 80% alcohol solution. How many liters of each solution should she mix to obtain 70 liters of 50% solution?
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3.2: Solving Systems using Elimination

20. 3.2: Solving Systems using Elimination
Your Turn
One solution contains 20% acid and a second solution contains 50% of acid. How many ounces of each solution should be mixed in order to have 60 ounces of a 30% acid solution?
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3.2: Solving Systems using Elimination

21. 3.2: Solving Systems using Elimination
Assignment
WKST
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3.2: Solving Systems using Elimination