SOLUTION: x+y=48 12x+14y=628

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Question 3400: x+y=48
12x+14y=628
Answer by drglass(89)   (Show Source): You can put this solution on YOUR website!
You have:


  1. x+y=48

  2. 12x+14y=628


Multiply the first equation by -12 to get:


  1. -12x - 12y = -576

  2. 12x + 14y = 628


Now, add the equations togeter:
-12x - 12y + 12x + 14y = 628 - 576

reduce to -12y + 14y = 628 - 576

and further reduce to 2y = 52 or y = 26

Since x + y = 48, x + 26 = 48, so x = 48 - 26 = 22.

The solution is x = 22, y = 26.

To verify the answer, substitute these values in:


  1. x + y = 48

  2. 12x + 14y = 628



  1. 22 + 26 = 48

  2. 12*22 + 14*26 = 264 + 364 = 628
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