SOLUTION: The sum of two numbers is 18. Twice the smaller number decreased by three equals the larger number. What are the two numbers? Show your work

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Question 1078440: The sum of two numbers is 18. Twice the smaller number decreased by three equals the larger number. What are the two numbers? Show your work
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let's numbers be x and y where y is the smaller number
if the sum of two numbers is 18, we know that
x%2By=18........solve for x
x=18-y.........eq.1
if twice the smaller number decreased by three equals the larger number, we have
x=2y-3.....eq.2
in eq.1 and eq.2 we see that left sides are equal; so, right sides are equal too
18-y=2y-3....solve for y
18%2B3=2y%2By
21=3y
y=21%2F3
y=7
go to x=2y-3.....eq.2, substitute y and solve for x
x=2%2A7-3
x=14-3
x=11

so, your two numbers are 11 and 7