SOLUTION: PLEASE ANSWER THIS COLLEGE ALGEBRA QUESTION, WHAT IS 3/4=1-3X-2/X+1 3/4 AS A FRACTION=1 3X-2 /X+1 AS A FRACTION ALSO

Algebra ->  Radicals -> SOLUTION: PLEASE ANSWER THIS COLLEGE ALGEBRA QUESTION, WHAT IS 3/4=1-3X-2/X+1 3/4 AS A FRACTION=1 3X-2 /X+1 AS A FRACTION ALSO      Log On


   

Question 122683: PLEASE ANSWER THIS COLLEGE ALGEBRA QUESTION, WHAT IS 3/4=1-3X-2/X+1
3/4 AS A FRACTION=1 3X-2 /X+1 AS A FRACTION ALSO
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Does your question look like this: %283%29%2F%284%29=1-%283x-2%29%2F%28x%2B1%29??



%283%29%2F%284%29=1-%283x-2%29%2F%28x%2B1%29 Start with the given equation


Multiply both sides by the LCD 4%28x%2B1%29. Doing this will eliminate every fraction.


%28x%2B1%29%283%29=4%28x%2B1%29-4%283x-2%29 Distribute and multiply. Notice every denominator has been canceled out.



3%28x%2B1%29=4%28x%2B1%29-4%283x-2%29 Rearrange the left side



3x%2B3=4x%2B4-12x%2B8 Distribute



3x%2B3=-8x%2B12 Combine like terms on the right side


3x=-8x%2B12-3Subtract 3 from both sides


3x%2B8x=12-3 Add 8x to both sides


11x=12-3 Combine like terms on the left side


11x=9 Combine like terms on the right side


x=%289%29%2F%2811%29 Divide both sides by 11 to isolate x



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Answer:
So our answer is x=9%2F11 (which is approximately x=0.818181818181818 in decimal form)