SOLUTION: the sum of two integers is 51. the larger integer is 3 more than twice the smaller integer. find the numbers

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Question 324311: the sum of two integers is 51. the larger integer is 3 more than twice the smaller integer. find the numbers
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be one number and y be the other one.
You are told
x%2B+y+=+51
x+=+2y+%2B+3
Use substition
x%2B+y+=+51
%282y%2B3%29+%2B+y+=+51
3y+%2B+3+=+51
3y+=+48
y+=+16
If y is 16, then x is 2y%2B3+=+2%2A16+%2B+3+=+35
Check your answer. Does 16+35 = 51?