SOLUTION: 3x-5 over x-2 + 6x-13 over x-2 =9 3x=6x=9x 15=13=-18 9x-18 over x-2 ????

Question 118467: 3x-5 over x-2 + 6x-13 over x-2 =9
3x=6x=9x
15=13=-18
9x-18 over x-2 ????
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

I'm not sure I understand what you were trying to say with the work you showed.

First thing is to realize that x = 2 makes the left side of the equation undefined, so if 2 comes up as a solution it needs to be excluded.

First, multiply both sides of the equation by :

, then simplify:

, which is true for all real x, except that we must exclude x = 2 because that makes the denominators in the original equation go to zero.

Hope that helps.
John

P.S. Ah! Now I get it. You were trying to say:

and
and
you didn't understand how to divide

Well, since , , no matter what x is, so long as it isn't 2 because you can't divide by zero. Same result as above.

J.
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