SOLUTION: One number is four more than a second number. Two times the first number is 10 more that four times the second number.

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Question 271214: One number is four more than a second number. Two times the first number is 10 more that four times the second number.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: A+=+4+%2B+B
Equation 2: 2A+=+10+%2B+4B
Solution:
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We can take the (4 + B) from equation 1 and substitute it into equation 2 for A
Equation 2: 2A+=+10+%2B+4B
2%2A%284+%2B+B%29+=+10+%2B+4B Simplify
8+%2B+2B+=+10+%2B+4B Subtract 10 from both sides
8+%2B+2B+-+10+=+4B Subtract 2B from both sides
8+-+10+=+4B+-+2b Simplify
-2+=+2B Divide both sides by 2
highlight%28-1+=+B%29
Now we can plug -1 into equation 1 for B
Equation 1: A+=+4+%2B+B
A+=+4+%2B+%28-1%29 Simplify
highlight%28A+=+3%29
Check the answer:
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Plug your values back into equation 2
Equation 2: 2A+=+10+%2B+4B
2%2A%283%29+=+10+%2B+4%2A%28-1%29 Simplify
highlight%286+=+6%29