SOLUTION: the larger of two numbers is 9 more than twice the smaller. the sum of the numbers is 3 less than five times the smaller. find the number. show work please.

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Question 378434: the larger of two numbers is 9 more than twice the smaller. the sum of the numbers is 3 less than five times the smaller. find the number.
show work please.
Answer by sophxmai(62) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the smaller number and y be the larger number.
y=2x+9
x+y=5x-3

Substitute y=2x+9 for y.
x+(2x+9)=5x-3
3x+9=5x-3
12=2x
6=x

If x is 6, then y is ?
y=2x+9
y=2(6)+9
y=12+9
y=21

When x is 6, y is 21.
The two numbers are 6 and 21.