how to write a system of linear equation that represents the situation you sell 14 more tickets than your friend sells together you and your friends sell 58 tickets

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We will call the number of tickets you sell [tex]x[/tex] and the number your friend sells [tex]y[/tex]. Given this, we can create the first equation, which is:

[tex]x = y + 14[/tex]

  • This shows that the number of tickets you sold is equal to the number your friend sold + 14, which symbolizes that you sold 14 more tickets than your friend

We can also create the second equation:

[tex]x + y = 58[/tex]

  • This shows that the number of tickets you sold along with the number of tickets your friend sold is equal to 58 tickets in total

Thus, our system would be:

[tex]x = y + 14[/tex]

[tex]x + y = 58[/tex]

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