1) At a diner, the cost for a specialty waffle and a hashbrown is $9.50. The cost for 2 specialty waffles and 3 hashbrowns is $20.50. Determine the cost of a waffle and the cost of a hashbrown.

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Step-by-step explanation:

Using w and h for the costs of a waffle and hashbrowns, respectively, we can write the equations for the purchase amounts as ...

  w + h = 9.50

  2w + 3h = 20.50

Subtracting twice the first equation from the second gives ...

  (2w +3h) -2(w +h) = (20.50) -2(9.50)

  h = 1.50 . . . . . . simplify

  w = 9.50 -h = 8.00 . . . . . find w using the first equation

The cost of a waffle is $8.00; the cost of hashbrowns is $1.50.