SOLUTION: The larger of two numbers is 1 more than twice the smaller. The sum of the numbers is 20 less than three times the larger. Find the number I figured out the two equations which

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Question 404687: The larger of two numbers is 1 more than twice the smaller. The sum of the numbers is 20 less than three times the larger. Find the number
I figured out the two equations which are
x = smaller
y = larger

y = 2x+1 ; x+y = 3y-20
I found the equations but I don't know how to solve it, to get the numbers of x and y.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

y = 2x+1  

x+y = 3y-20   |good work!

x  + (2x+1) = 3(2x+1) - 20   |substituting for y

solving for x

 3x + 1 = 6x + 3 - 20

      18 = 3x

       x = 6  and y = 13  (2x+1)



CHECKING our Answer***

 y = 2x+1  

13 = 2*6 + 1