SOLUTION: Twice one number is equal to 1 more than a second number. The sum of the numbers is 5. Find the numbers please. (I finished my whole worksheet except for 2 problems, because I don'

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Twice one number is equal to 1 more than a second number. The sum of the numbers is 5. Find the numbers please. (I finished my whole worksheet except for 2 problems, because I don'      Log On


   

Question 391228: Twice one number is equal to 1 more than a second number. The sum of the numbers is 5. Find the numbers please. (I finished my whole worksheet except for 2 problems, because I don't know how to write the equation for them.)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can call the unknown numbers a and b
given:
(1) 2a+=+b+%2B+1
(2) a+%2B+b+=+5
-----------
I want to get a and b both on the left side
Subtract b from both sides of (1)
2a+-+b+=+1
a+%2B+b+=+5
Now all you have to do is add the equations
3a+=+6
a+=+2
Substitute this in (2)
(2) a+%2B+b+=+5
2+%2B+b+=+5
b+=+3
The numbers are 2 and 3