SOLUTION: 2/17 = x-6/x+9 If I have to use LCD 17 is a prime number and 9 is 3X3 meaning that I need to multiply by 51 to get rid of denominators then 51(2/17) = 51(x-6/x+9) then I got stuck

Algebra ->  Equations -> SOLUTION: 2/17 = x-6/x+9 If I have to use LCD 17 is a prime number and 9 is 3X3 meaning that I need to multiply by 51 to get rid of denominators then 51(2/17) = 51(x-6/x+9) then I got stuck       Log On


   

Question 314273: 2/17 = x-6/x+9 If I have to use LCD 17 is a prime number and 9 is 3X3 meaning that I need to multiply by 51 to get rid of denominators then 51(2/17) = 51(x-6/x+9) then I got stuck can you please help me understand what will follow?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
2%2F17 = %28x-6%29%2F%28x%2B9%29
The LCD is 17(x+9), but with this problem you can cross multiply
17(x-6) = 2(x+9)
:
17x - 102 = 2x + 18
:
17x - 2x = 18 + 102
:
15x = 120
x = 120%2F15
x = 8
:
:
Check solution in the original equation:
2%2F17 = %288-6%29%2F%288%2B9%29
2%2F17 = 2%2F17