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hjlf
3 years ago
9

In the last election, 3/8 of the voters in Afton voted for the incumbent mayor. if 424 people voted in Afton the last election,

how many voted for the incumbent mayor?
Mathematics
1 answer:
Ilya [14]3 years ago
4 0
159 people voted for the incumbent mayor 
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Answer:

  (x, y) = (6, -2)

Step-by-step explanation:

Sometimes this solution method is called "addition" or "elimination." You want to multiply one or both equations by a value or values that make the coefficients of one of the variables be opposites. Then when you add the equations, the result is an equation without that variable. (One variable has been eliminated.)

Multiply the first equation by -2 to make its x-coefficient the opposite of that in the second equation. Then add the two equations:

  -2(3x +3y) = -2(12)

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Add the second equation ...

  (-6x -6y) +(6x +11y) = (-24) +(14)

  5y = -10 . . . . . simplify

  y = -2 . . . . . . . divide by 5

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  3x +3(-2) = 12 . . . . . substitute into the first equation

  3x = 18 . . . . . . . . . . add 6

  x = 6 . . . . . . . . . . . . divide by 3

The solution is (x, y) = (6, -2).

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