Respuesta :

Answer:

  • a = $8
  • s = $5

Step-by-step explanation:

When the coefficients don't lend themselves to solution by substitution or elimination, then Cramer's Rule can be useful. It tells you the solutions to

  • ax +by = c
  • dx +ey = f

are ...

  • ∆ = bd -ea
  • x = (bf -ec)/∆
  • y = (cd -fa)/∆

Using that rule here, we find ...

  ∆ = 5·3 -6·2 = 3

  a = (5·54 -6·41)/3 = 5·18 -2·41 = 90 -82 = 8

  s = (41·3 -54·2)/3 = 41 -18·2 = 5

This math can be performed in your head, which is the intent of formulating the rule in this way.

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Similarly, if you expect the solutions to be small integers (as here), then graphing is another viable solution method.

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Comment on the question

We're sad to see than only 16 tickets were sold to the two performances by the symphonic band.

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