SOLUTION: Solve this problem by using a two order system. The larger of two numbers exceeds twice the smaller by one. Three times the smaller exceeds the larger by six. The numbers are

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Question 259216: Solve this problem by using a two order system.
The larger of two numbers exceeds twice the smaller by one. Three times the smaller exceeds the larger by six.
The numbers are and .

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numbers be A and B.
1.B=2A%2B1
2.3A=B%2B6
Substitute eq. 1 into eq. 2,
2.3A=B%2B6
3A=%282A%2B1%29%2B6
3A=2A%2B7
A=7
Then use eq. 1 to solve for B,
B=2A%2B1
B=2%287%29%2B1=15