gabeye
gabeye gabeye
  • 03-05-2021
  • Mathematics
contestada

p+h= 43
4.5p+12h=276

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 03-05-2021

9514 1404 393

Answer:

  (p, h) = (32, 11)

Step-by-step explanation:

We can write an expression for p using the first equation, then substitute that into the second equation.

  4.5(43-h) +12h = 276 . . . . substitute for p

  193.5 +7.5h = 276 . . . . . . eliminate parentheses

  7.5h = 82.5 . . . . . . . . . . . . subtract 193.5

  h = 82.5/7.5 = 11 . . . . . . . . divide by the coefficient of h

  p = 43 -11 = 32

The solution is (p, h) = (32, 11).

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