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Fudgin [204]
3 years ago
8

Solve for x and y in the equation. xy=80 and log x - 2 log y =1

Mathematics
1 answer:
Alexxx [7]3 years ago
7 0

9514 1404 393

Answer:

  (x, y) = (40, 2)

Step-by-step explanation:

Taking the antilog of the second equation, we have ...

  x/y^2 = 10

  x = 10y^2

Substituting this into the first equation gives ...

  (10y^2)y = 80

  y^3 = 8 . . . . . . . . divide by 10

  y = 2 . . . . . . . . . . cube root

  x = 10·2^2 = 40

The solution is (x, y) = (40, 2).

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2 years ago
Karins mom runs a dairy farm. Last year Betty the cow gave 375 gallons less than twice the amount from Bessie the cow. Together,
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X = bessie and y = betty

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