omaimarashid2008 omaimarashid2008
  • 01-12-2021
  • Mathematics
contestada

(c) Ada is x years old and Bill is y years old.
Last
year,
Bill was 6 times as old as Ada.
(1) Form an equation in x and y and show that it simplifies to y = 6x - 5.

Respuesta :

joaobezerra joaobezerra
  • 14-12-2021

Using a system of equations, it is found that the simplified equation is y = 6x - 5.

  • Ada is x years old.
  • Bill is y years old.

Last year, Ada was x - 1 years old and Bill was y - 1 years old.

Bill was 6 times as old as Ada, hence:

[tex]y - 1 = 6(x - 1)[/tex]

[tex]y - 1 = 6x - 6[/tex]

[tex]y = 6x - 6 + 1[/tex]

[tex]y = 6x - 5[/tex]

The simplified equation is y = 6x - 5.

For a similar problem, also involving a system of equations, you can check https://brainly.com/question/13773803

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