SOLUTION: Three times a number is added to five times a number to get 54. The second number is two less than the first. What are the numbers?

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Question 277512: Three times a number is added to five times a number to get 54. The second number is two less than the first. What are the numbers?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1:3A+%2B+5B+=+54
Equation 2:A+=+B+%2B+2
Soulution:
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You can substitute (B + 2) into equation 1 for A
Equation 1:(((3A + 5B = 54}}}
3%28B+%2B+2%29+%2B+5B+=+54 Simplify
3B+%2B+6+%2B+5B+=+54 Simplify
8B+%2B+6+=+54 Subtract 6 from both sides
8B+=+48 Divide both sides by 8
highlight%28B+=+6%29
Now plug 6 into equation 2 for B
Equation 2:A+=+B+%2B+2
A+=+6+%2B+2
highlight%28A+=+8%29