7/x-1 + 4/x+1=3x/x^2-1 7/x-1 + 4/x+1=3x/x^2-1 @Mathematics

Question

agreene · Answer

$$\frac{7}{x-1}+\frac{4}{x+1}=\frac{3x}{x^2-1}$$

is that the question?

anonymous · Answer

yes. I have no clue how to type it in the form like that lol

anonymous · Answer

i know the lcd is x^2-1

anonymous · Answer

ive gotten to where i multiply that on both sides

agreene · Answer

hehe that's fine... its just hard to tell what things are with no parenthesis.

to solve: I would start by factoring the denominator on the right and getting:

$$\frac{7}{x-1}+\frac{4}{x+1}=\frac{3x}{(x-1)(x+1)}$$
So, now we can multiply both sides by that denominator and we get:
$$7(x+1)+4(x-1)=3x$$
now we can distribute the 7 and 4:
$$7x+7+4x-4=3x$$
combine likes:
$$11x+3=3x$$
subtract 3x and 3 from both sides
$$8x=-3$$
divide by 8
$$x=-\frac{3}{8}$$

anonymous · Answer

i got it right! thanks! i get lost when it comes to multiplying

anonymous · Answer

i have like 5 questions im having to make sure i have correct before i turn my work in lol