3-6 Systems with 3 Variables Objectives: To solve systems in 3 variables by elimination. To solve...
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Transcript of 3-6 Systems with 3 Variables Objectives: To solve systems in 3 variables by elimination. To solve...
![Page 1: 3-6 Systems with 3 Variables Objectives: To solve systems in 3 variables by elimination. To solve systems in 3 variables by substitution.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ea05503460f94ba3337/html5/thumbnails/1.jpg)
3-6 Systems with 3 VariablesObjectives:• To solve systems in 3 variables by elimination.• To solve systems in 3 variables by substitution.
![Page 2: 3-6 Systems with 3 Variables Objectives: To solve systems in 3 variables by elimination. To solve systems in 3 variables by substitution.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ea05503460f94ba3337/html5/thumbnails/2.jpg)
System of 3 Variables• Can be
represented as graphs in 3 dimensions.• Solutions can be
shown graphically as the intersection of planes.• Solutions
represented as one point
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Example 1: Solve each system by elimination.a)
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Trivia…
1) Which athlete has won the maximum number of gold medals at a single Olympics?
Michael Phelps; 8 Gold Medals in Beijing 2008
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Example 1: Solve each system by elimination.b)
![Page 6: 3-6 Systems with 3 Variables Objectives: To solve systems in 3 variables by elimination. To solve systems in 3 variables by substitution.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ea05503460f94ba3337/html5/thumbnails/6.jpg)
Practice• WS – Elimination
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When using Elimination of 2 variables, we sometimes have to multiply. The same is true for systems of 3 variables.
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Example 2: Solve each system by elimination.a)
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Trivia…
2) In which year did the Titanic sink?
1912
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Example 2: Solve each system by elimination.b)
![Page 11: 3-6 Systems with 3 Variables Objectives: To solve systems in 3 variables by elimination. To solve systems in 3 variables by substitution.](https://reader036.fdocuments.in/reader036/viewer/2022062802/56649ea05503460f94ba3337/html5/thumbnails/11.jpg)
Practice• WS – Elimination (w/ Multiplying)
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Substitution Method
• Best used when• One or more equations are solved for a
variable.• One equation can easily be solved for a
variable.
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Example 3: Solve each system by substitution.a)
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Example 3: Solve each system by substitution.b)
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Trivia…
3) What is the #1 USA box office movie?
Avatar
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Example 4: Write a system of 3 variables and then solve.Suppose you saved $3200 from a part time job and you want to invest your savings in a growth fund, an income fund, and a money market fund. Refer to the graph. To maximize your return, you decide to put twice as much money in the growth fund as in the money market fund. How should you invest the $3200 to get a return of $250 in one year?
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Practice• WS –Substitution
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Homework