SOLUTION: How do you check the answer for the equation 4/x+5 + 2/x-5= 32/(x+5)(x-5) The answer I got after all my calculation was x=7, but how do I check to make sure that it is correct? Er

Algebra ->  Radicals -> SOLUTION: How do you check the answer for the equation 4/x+5 + 2/x-5= 32/(x+5)(x-5) The answer I got after all my calculation was x=7, but how do I check to make sure that it is correct? Er      Log On


   

Question 204242: How do you check the answer for the equation 4/x+5 + 2/x-5= 32/(x+5)(x-5)
The answer I got after all my calculation was x=7, but how do I check to make sure that it is correct? Erika
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Well, your answer is correct, so you can check it by substituting x =7 into the original equation and see if the two sides are equal.
%284%2F%28x%2B5%29%29%2B%282%2F%28x-5%29%29+=+32%2F%28x%2B5%29%28x-5%29 Substitute x = 7.
%284%2F%287%2B5%29%29%2B%282%2F%287-5%29%29+=+32%2F%287%2B5%29%287-5%29 Evaluate.
%284%2F12%29%2B%282%2F2%29+=+32%2F%2812%29%2A%282%29
%284%2F12%29%2B%2812%2F12%29+=+32%2F24 Multiply the left side by 2%2F2.
%288%2F24%29%2B%2824%2F24%29+=+32%2F24 Add the fractions on the left.
32%2F24+=+32%2F24