Solving Systems of Equations: Substitution and Elimination Techniques

This video tutorial covers solving systems of equations using substitution and elimination methods. It explains when to use each method, provides step-by-step examples, and highlights key steps in solving equations. The video aims to help viewers understand and apply these techniques effectively.

What is the primary goal when given a system of equations?

• To eliminate all variables

• To graph the equations

• To simplify the equations

• To find the value of each unknown variable

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When is the substitution method most effective?

• When a variable has a coefficient of 1 or -1

• When a variable has a coefficient of 2

• When both equations are linear

• When the equations are quadratic

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the first step in solving a system using substitution?

• Graph the equations

• Solve for x or y in one equation

• Add the equations together

• Multiply both equations by a constant

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the example provided, what is the value of y after solving the equation 39y = 78?

• 2

• 3

• 1

• 4

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CCSS.6.EE.B.7

What is the final value of x in the substitution example?

• -1

• 2

• 1

• 0

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the main idea behind the elimination method?

• To substitute one equation into another

• To add the equations together to eliminate one variable

• To multiply the equations by a constant

• To graph the equations

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the simple elimination example, what is the value of x after solving 10x = 30?

• 5

• 2

• 3

• 4

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CCSS.6.EE.B.7

In the complex elimination example, what do we multiply the first equation by to cancel out the y terms?

• 1

• 2

• 4

• 3

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

After manipulating the equations in the complex elimination example, what is the value of x?

• -4

• -3

• -2

• -1

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the final value of y in the complex elimination example?

• 7

• 8

• 5

• 6

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6