SOLUTION: The sum of a numberand twice a second number is 14. when the second number is subtracted from the first number, the difference is 2.find the two numbers

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Question 707696: The sum of a numberand twice a second number is 14. when the second number is subtracted from the first number, the difference is 2.find the two numbers
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: A+%2B+2B+=+14
Equation 2: A+-+B+=+2
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Solve one of the equations for one of the variables.
Equation 2: A+-+B+=+2
A+=+2+%2B+B
Now plug (2 + B) into equation 1 for A
Equation 1: A+%2B+2B+=+14
%282%2BB%29+%2B+2B+=+14
Combine like terms
2+%2B+3B+=+14
Subtract 2 from both sides
3B+=+12
Divide both sides by 3
highlight%28B+=+4%29
Now solve for A, using 4 for B.
A+=+2+%2B+B
A+=+2+%2B+%284%29
highlight_green%28A+=+6%29