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 11/22/2018 1:10 PM 3.2 - Solving Systems through Substitution

3.2: Solving Systems using Elimination Substitution WKST 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

3.2: Solving Systems using Elimination 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

Solving Systems with Elimination Section 3.2 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

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 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

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) 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

Example 1 (2) Solve using Elimination 2. ADD the variables where at least one variable cancels out (2) 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

Example 1 3. REPLACE the value into either equation Solve using Elimination 3. REPLACE the value into either equation 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

3.2: Solving Systems using Elimination Example 1 Solve using Elimination 4. CHECK the solution 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

3.2: Solving Systems using Elimination Your Turn Solve using Elimination 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

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 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

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 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

Example 2 Solve using Elimination 2. ADD the variables where at least one variable cancels out 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

Example 2 Solve using Elimination 3. REPLACE the value into either equation 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

3.2: Solving Systems using Elimination Example 2 Solve using Elimination 4. CHECK the solution 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

3.2: Solving Systems using Elimination Example 3 Solve using Elimination 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

3.2: Solving Systems using Elimination Your Turn Solve using Elimination 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

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? 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

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? 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

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? 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination

3.2: Solving Systems using Elimination Assignment WKST 11/22/2018 1:10 PM 3.2: Solving Systems using Elimination