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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:
- x+y=48
- 12x+14y=628
Multiply the first equation by -12 to get:
- -12x - 12y = -576
- 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:
- x + y = 48
- 12x + 14y = 628
- 22 + 26 = 48
- 12*22 + 14*26 = 264 + 364 = 628
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