## anonymous 5 years ago 4/x+12/x-5=-11 solve.

1. anonymous

i multiplied by the lcd and i got the answer 5 but it was wrong not sure what im doing wrong

2. anonymous

i multiplied by the lcd and i got the answer 5 but it was wrong not sure what im doing wrong

3. anonymous

16/x=-6 x=-16/6=-8/3

4. anonymous

$\frac{4}{x}+\frac{12}{x}-5=-11\text{ }\text{ or }\text{ }\frac{ 4}{ x}+\frac{12}{x-5}=-11$

5. anonymous

(4/x)+(12/x-5) =-11

6. anonymous

(4/x)+(12/x-5) =-11

7. anonymous

(4/x)+(12/x-5) =-11

8. anonymous

In either case put all of the terms on the left hand side of the equation and combine the terms into one fraction. the fraction is zero therefore the numerator has to be zero. Set the numerator to = 0 and solve for x.

9. anonymous

that explanation didnt do anything for me

10. anonymous

(4/x) + (12/(x - 5)) = -11 Is the above the problem statement? This one is different than your last posting.

11. anonymous

yes

12. anonymous

yes

13. anonymous

Good. If you bring the -11 over to the left hand side you will have: $11+\frac{12}{-5+x}+\frac{4}{x}=0$ The terms may be in a different order than yours, but the equation is still valid.

14. anonymous

ok

15. anonymous

Now when you combine all of the terms on the left hand side together, you will have the following fraction equal to zero: $\frac{-20-39 x+11 x^2}{(-5+x) x}=0$

16. anonymous

???????????????

17. anonymous

???????????????

18. anonymous

??????? ... I get it. You are having trouble with combining fractions. Is that right?

19. anonymous

i dont see how you got the numerator

20. anonymous

4(x-5)+12(x)+11x(x-5)=0 -20-39x+11x^2=0 x=4 (+/_)

21. anonymous

22. anonymous

You have to find a common divisor, an expression divisible by all of the denominators. A common divisor of 1, x-5 and x is x*(x-5). You then multiply each term on the left hand side by: The equation editor has crapped out at least on my version of Firefox. (x (x - 5))/(x (x - 5)) Multiply the above, which is equal to one, by each term on the right hand side. I have go to break off right now. Google "how to combine fractions algebra"

23. anonymous

Sorry. multiply each term on the left hand side. The solutions are x = -5/11 and x = 4 Got to go.