SOLUTION: the sum of tow numbers is 24. Five times the first time minus the second is 12. What are the two numbers?

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Question 271406: the sum of tow numbers is 24. Five times the first time minus the second is 12. What are the two numbers?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: A+%2B+B+=+24
Equation 2: 5A+-+B+=+12
Solve equation 1 for one of the variables.
Equation 1: A+%2B+B+=+24
A+=+24+-+B
Now plug (24 - B) into equation 2 for A
Equation 2: 5A+-+B+=+12
5%2A%2824-B%29+-+B+=+12 Simplify
120+-+5B+-+B+=+12 Combine like terms
120+-+6B+=+12 subtract 120 from both sides
-6B+=+-108 divide both sides by -6
highlight%28B+=+18%29
Now plug 18 into equation 1 for B
Equation 1: A+%2B+B+=+24
A+%2B+18+=+24
highlight%28A+=+6%29