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Answer:

  • Item from shelf A cost $5.41 and items from shelf B cost $4.89

Step-by-step explanation:

x represents an item form shelf A, y represents an item from shelf B.

The equations are:

  • 3x + 2y = 26
  • 2x + 5y = 32

Solve by elimination.

Multiply the first equation by 2 and the second one by 3, then subtract the first equation form the second:

  • 6x + 15y - 6x - 4y = 96 - 52
  • 9y = 44
  • y = 44/9 = 4.89 (rounded)

Find the value of x:

  • 3x + 2*4.89 = 26
  • 3x = 26 - 9.78
  • 3x = 16.22
  • x = 16.22/3
  • x = 5.41 (rounded)

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