SOLUTION: The second of two numbers is 6 less than the first. Twice the sum of the first number and 1 is the same as 9 times the second. Find the numbers. i tried to start the equation an

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Question 660051: The second of two numbers is 6 less than the first. Twice the sum of the first number and 1 is the same as 9 times the second. Find the numbers.
i tried to start the equation and this is what i got but im still not sure:
2(x+1)+x-6=9(x-6)
please help!!!

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
It should be

2(x+1)+x-6=9(x-6)

Notice the change in red

In a much cleaner look, the equation should be this

2(x+1) = 9(x-6)

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Start with the given equation.


Distribute.


Subtract from both sides.


Subtract from both sides.


Combine like terms on the left side.


Combine like terms on the right side.


Divide both sides by to isolate .


Reduce.


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Answer:

So the solution is

This means that the first number is 8 and the second number is 2 (since x-6 = 8-6 = 2)

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