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Aidan earned a total of $117 in one week. His babysitting job pays him $15 per hour. His after-school job at a barber shop pays him $9 per hour. He worked a total of 9 hours that week. The system of linear equations represents this situation, where x represents the number of hours Aidan spent babysitting and y represents the number hours he worked at the barber shop.

x + y = 9

15x + 9y = 117

How many hours did Aidan work at each job?

Answer :

The hours worked at the babysitting job is 6 hours.

The hours worked at the barber shop is 3 hours.

What are the hours worked at the babysitting job?

Given the two linear equations:

x + y = 9 equation 1

15x + 9y = 117 equation 2

Multiply equation 1 by 9

9x + 9y = 81 equation 3

Subtract equation 3 from 1

36 = 6x

x = 6

What are the hours worked at the barber shop?

Substitute for x in equation 1

6 + y = 9

y = 9 - 6

y = 3 hours

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

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