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Amy, Karen, and Nolan are siblings. Their ages in years can be represented by the variables A, K, and N, respectively. They have lived a total of
22 years combined. Karen has lived twice as many years as Amy, and Nolan has lived 6 years longer than Amy. Write a system of linear
equations to find the age of each sibling.

Respuesta :

andrina420

Answer:

A+K+N = 22

K = 2A

N = A + 6

Step-by-step explanation:

So A, K and N lived a total of 22 years combined:

A+K+N = 22

K lived twice as many years as A:

K = 2A (since K is older)

N lived 6 years longer than A:

N = A + 6

The system of linear equations which is used to find the age of each sibling is A+K+N=22, K=2A and N=A+6.

  • A+K+N=22,
  • K=2A,
  • N=A+6.

What is a system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Amy, Karen, and Nolan are siblings. Their ages in years can be represented by the variables A, K, and N, respectively.  They have lived a total of 22 years combined. Thus,

[tex]A+K+N=22[/tex]

Karen has lived twice as many years as Amy. Thus,

[tex]K=2A[/tex]

Nolan has lived 6 years longer than Amy.

[tex]N=A+6[/tex]

Thus, the system of linear equations which is used to find the age of each sibling is A+K+N=22, K=2A and N=A+6.

Learn more about the system of equations here;

https://brainly.com/question/13729904

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