SOLUTION: the sum of two numbers is 38. The second is 5 more than 2 times the first. What are the two numbers?

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Question 111577: the sum of two numbers is 38. The second is 5 more than 2 times the first. What are the two numbers?
Answer by wgunther(43)   (Show Source): You can put this solution on YOUR website!
Let them be a and b. a+b=38. b-5=2a. Solve.
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 1*b to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that b=27. Since , a=11.

Answer: .

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