SOLUTION: i need to know how to solve this problem: one number is 5 more than twice another number. the sum of the numbers is 35. find the numbers

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Question 799: i need to know how to solve this problem: one number is 5 more than twice another number. the sum of the numbers is 35. find the numbers
Answer by arden42(16) About Me  (Show Source):
You can put this solution on YOUR website!
Well, the first thing to do is write out what we know as expressions:
x+=+5%2B2y
x%2By=35
Then, we can substitute the first equation into the second to get:
%285%2B2y%29+%2B+y+=+35
5%2B3y=35
3y=30
y=10
Then, substitute this value for y back into one of the original 2. I'm going to use the second one.
x%2B10=35
x=25
The 2 numbers are 10 and 25.