sam is 27 years old. his age is 6 years greater than 3 times Brandon's age. which method can be used to determine Brandon's age?​

Respuesta :

Answer:

Solve for b in the equation 3 (b + 6) = 27

Step-by-step explanation:

Sam and Brandon's age illustrates linear equations.

The method to solve Brandon's age is the method of substitution.

Let:

[tex]S \to[/tex] Sam's age

[tex]B\to[/tex] Brandon's age

From the question, we have:

[tex]S = 27[/tex]

[tex]S = 6 + 3B[/tex]

To solve for B, we simply substitute 27 for S.

So, we have:

[tex]27 = 6 + 3B[/tex]

Collect like terms

[tex]27 - 6 = 3B[/tex]

[tex]21 = 3B[/tex]

Divide both sides by 3

[tex]7 = B[/tex]

[tex]B = 7[/tex]

Hence, the method of substitution is used to solve for Brandon's age.

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