## 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 isyears old and his mother is years old.

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2022-01-08T06:44:05+00:00
2022-01-08T06:44:05+00:00 2 Answers
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## Answers ( )

Part 1:The linear equations are andPart 2:Solving the equations, we have, andPart 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,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,

Simplifying this, we get,

Thus, the

linear equation isThe

linear equationsare andPart 2: Solving the linear equation, we get,Substituting in

Simplifying, we get,

Hence,

Substituting in

Solving the equations, we have,andPart 3:Since, j represents jacob and m represents the jacob’s motherThus,

Jacob is 4 years old and his mother is 40 years old.Answer:m=3+9j

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

Jacob is 4 and his mother is 39

Step-by-step explanation: