The video tutorial explains systems of equations, focusing on the substitution method. It demonstrates solving two systems of equations by substituting one variable with an equivalent expression. The tutorial provides a detailed walkthrough of each step, including identifying which equation to use, performing arithmetic operations, and finding the ordered pair solution. The video concludes with a summary of the substitution method, highlighting its application in solving systems of equations.

What is a system of equations?

• More than one equation with a single variable

• A single equation with one variable

• More than one equation with more than one variable

• A single equation with multiple variables

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CCSS.HSA.REI.C.8

What is the substitution method?

• Replacing a variable with an equivalent expression

• Replacing a variable with its value

• Replacing a variable with a constant

• Replacing an equation with another equation

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the first example, what is the value of x?

• 5

• 6

• 8

• 7

In the first example, which equation is used to find the y-value?

• The top equation

• The bottom equation

• Both equations

• Neither equation

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the first example, what is the y-value when x is 6?

• 20

• 21

• 22

• 23

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

In the second example, what is the value of x?

• -1

• -4

• -2

• -3

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CCSS.8.EE.C.7B

In the second example, which equation is used to find the y-value?

• The top equation

• The bottom equation

• Both equations

• Neither equation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the second example, what is the y-value when x is -2?

• -2

• -4

• -3

• -1

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CCSS.HSF.IF.A.2

What is the general approach to solving a system of equations using substitution?

• Replace an equation with another equation

• Replace a variable with an equivalent expression

• Replace a variable with a constant

• Replace a variable with its value

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What should you do after finding the x-value in a system of equations?

• Find the y-value using the second equation

• No further steps are needed

• Find the y-value using either equation

• Find the y-value using the first equation

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6