Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his

Question

Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his age.

Part 1: Write a system of linear equations that models this situation. Let j represent Jacob’s age, and let m represent his mother’s age.

Part 2:Solve the system of equations
Part 3:complete the sentence.
Jacob isyears old and his mother is years old.

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Amara 2 weeks 2022-01-08T06:44:05+00:00 2 Answers 0 views 0

Answers ( )

    0
    2022-01-08T06:45:10+00:00

    Part 1: The linear equations are m=3+9j and 3j-m+27=0

    Part 2: Solving the equations, we have, j=4 and m=40

    Part 3: Jacob is 4 years old and his mother is 40 years old.

    Explanation:

    Part 1: Let j represent Jacob’s age, and let m represent his mother’s age.

    It is given that, “Jacob’s mother is three more than nine times as old as Jacob”. Writing it as linear equation, we have,

    m=3+9j

    It is also given that, “In eleven years, his mother will be five more than three times his age”. Writing it as linear equation, we have,

    (m+11)=5+3(j+11)

    Simplifying this, we get,

    m+11=5+3j+33\\m+11=3j+38

    Thus, the linear equation is

    3j-m+27=0

    The linear equations are  m=3+9j and 3j-m+27=0

    Part 2: Solving the linear equation, we get,

    Substituting m=3+9j in 3j-m+27=0

    3j-3-9j+27=0\\

    Simplifying, we get,

    -6j=-24

    Hence, j=4

    Substituting j=4 in m=3+9j

    m=3+9(4)\\m=3+36\\m=40

    Solving the equations, we have, j=4 and m=40

    Part 3: Since, j represents jacob and m represents the jacob’s mother

    Thus, Jacob is 4 years old and his mother is 40 years old.

    0
    2022-01-08T06:45:29+00:00

    Answer:

    m=3+9j

    (m+11)=5+3(j+11)

    Jacob is 4 and his mother is 39

    Step-by-step explanation:

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