SOLUTION: Hello, I need help with the following math problem: How many pairs of integers (b,c) satisfy the equation {{{ (b+7)/(b+4)=c/9 }}}? Thank you, Nicole

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Question 1046468: Hello,
I need help with the following math problem:
How many pairs of integers (b,c) satisfy the equation ?
Thank you,
Nicole

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

The equation
is equivalent to
-> , after transposing 1 to the right side;
-> , after combining terms,
-> , after cross multiplying.
Since both and are supposed to be integers, there are possibilities:
1) , -> ,
2), -> ,
3) , -> ,
4) , -> ,
5) , -> ,
6) , -> ,
7) , -> ,
8) , ->,
Therefore there are pairs of integers that will satisfy the original equation.


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