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1. If 2x + 3y = 14 and 3x + 2y = 12, then x + y = ?

A) 5
B) 6
C) 7
D) 8

1 Answer

1 vote

Answer:

  • x + y = 5.2

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Given system:

  • 2x + 3y = 14 and
  • 3x + 2y = 12

Add up the two equations to get same coefficient on both variables:

  • 2x + 3x + 3y + 2y = 14 + 12
  • 5x + 5y = 26
  • 5(x + y) = 26
  • x + y = 26/5
  • x + y = 5.2

As we see none of the choices match the answer. It means either question or answer choices are inaccurate.

User Sinux
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