Elimination Strategies in Systems of Equations

The video tutorial explores various strategies to eliminate variables in systems of equations. It evaluates different methods, such as adding, subtracting, and multiplying equations, to determine which effectively eliminate variables. Through multiple examples, the tutorial demonstrates that there are several approaches to solving systems of equations using elimination techniques.

What happens when you add the equations in the first example?

• No variable is eliminated

• The solution becomes obvious

• The equations become identical

• A variable is eliminated

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CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Which variable is eliminated when subtracting the bottom equation from the top?

• Both x and y

• y

• Neither x nor y

• x

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the result of multiplying the top equation by 2 and adding?

• Both variables are eliminated

• x is eliminated

• y is eliminated

• Neither variable is eliminated

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the second example, what happens when the bottom equation is multiplied by 2 and added?

• x is eliminated

• y is eliminated

• Neither variable is eliminated

• Both variables are eliminated

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the outcome of multiplying the bottom equation by 4 and subtracting in the third example?

• x is eliminated

• y is eliminated

• Neither variable is eliminated

• Both variables are eliminated

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which strategy successfully eliminates a variable in the third example?

• Multiplying top by 2 and bottom by 3

• Multiplying top by 3 and bottom by 2

• Subtracting bottom from top

• Adding equations directly

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the result of multiplying the top equation by one half and adding?

• x is eliminated

• y is eliminated

• Both variables are eliminated

• Neither variable is eliminated

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the third example, what happens when you multiply the top equation by 2 and the bottom by 3?

• x is eliminated

• y is eliminated

• Both variables are eliminated

• Neither variable is eliminated

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the effect of adding the equations after multiplying the top by 3 and the bottom by 2?

• Both variables are eliminated

• Neither variable is eliminated

• y is eliminated

• x is eliminated

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Which strategy in the third example results in no variables being eliminated?

• Multiplying top by 2 and bottom by 3

• Multiplying top by 3 and bottom by 2

• Adding equations directly

• Subtracting bottom from top

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6