SOLUTION: One number is 7 less than a second number. Twice the second number is 26 more than 3 times the first. find the two numbers.

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Question 698463: One number is 7 less than a second number. Twice the second number is 26 more than 3 times the first. find the two numbers.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: A+%2B+7+=+B
Equation 2: 2B+-+26+=+3A
Plug (A + 7) into equation 2 for B
Equation 2: 2B+-+26+=+3A
2%2A%28A+%2B+7%29+-+26+=+3A
Simplify
2A+%2B+14+-+26+=+3A
Combine like terms
2A+-12+=+3A
Subtract 2A from both sides
highlight%28-12+=+A%29
Plug -12 into equation 1 for A
Equation 1: A+%2B+7+=+B
%28-12%29+%2B+7+=+B
highlight_green%28-5+=+B%29