missy mccarthyokemos high school s olving s ystems using e limination

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Missy McCarthy Okemos High School SOLVING SYSTEMS USING ELIMINATION

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Page 1: Missy McCarthyOkemos High School S OLVING S YSTEMS USING E LIMINATION

Missy McCarthy Okemos High School

SOLVING SYSTEMS USING ELIMINATION

Page 2: Missy McCarthyOkemos High School S OLVING S YSTEMS USING E LIMINATION

LEARNING TARGET

Solve a system of linear equations using the elimination method.

What you will learn

Is substitution always the best method ?

What is the elimination method?

Example: No multiplying needed

Example: Multiplying one equation

Example: Multiplying both

Application

Summary

Page 3: Missy McCarthyOkemos High School S OLVING S YSTEMS USING E LIMINATION

WHEN THE SUBSTITUTION METHOD GETS COMPLICATED…

What you will learn

Is substitution always the best method ?

What is the elimination method?

Example: No multiplying needed

Example: Multiplying one equation

Example: Multiplying both

Application

Summary

Let’s try to solve this system using substitution.

Page 4: Missy McCarthyOkemos High School S OLVING S YSTEMS USING E LIMINATION

WHAT IS THE ELIMINATION METHOD?

What you will learn

Is substitution always the best method ?

What is the elimination method?

Example: No multiplying needed

Example: Multiplying one equation

Example: Multiplying both

Application

Summary

Goal: Combine the two equations in a way that eliminations on the variables.

Page 5: Missy McCarthyOkemos High School S OLVING S YSTEMS USING E LIMINATION

NO MULTIPLICATION NECESSARY

What you will learn

Is substitution always the best method ?

What is the elimination method?

Example: No multiplying needed

Example: Multiplying one equation

Example: Multiplying both

Application

Summary

Solve using the Elimination Method.

Page 6: Missy McCarthyOkemos High School S OLVING S YSTEMS USING E LIMINATION

MULTIPLYING ONE EQUATIONS BY A FACTOR

What you will learn

Is substitution always the best method ?

What is the elimination method?

Example: No multiplying needed

Example: Multiplying one equation

Example: Multiplying both

Application

Summary

Solve using the Elimination Method.

Page 7: Missy McCarthyOkemos High School S OLVING S YSTEMS USING E LIMINATION

MULTIPLYING BOTH EQUATIONS BY A FACTOR

What you will learn

Is substitution always the best method ?

What is the elimination method?

Example: No multiplying needed

Example: Multiplying one equation

Example: Multiplying both

Application

Summary

Solve using the Elimination Method.

Page 8: Missy McCarthyOkemos High School S OLVING S YSTEMS USING E LIMINATION

APPLICATION

What you will learn

Is substitution always the best method ?

What is the elimination method?

Example: No multiplying needed

Example: Multiplying one equation

Example: Multiplying both

Application

Summary

Page 9: Missy McCarthyOkemos High School S OLVING S YSTEMS USING E LIMINATION

SUMMARY

What you will learn

Is substitution always the best method ?

What is the elimination method?

Example: No multiplying needed

Example: Multiplying on equation

Example: Multiplying both

Application

Summary