SOLUTION: I need your help, please, on a linear equation involving fractions. My problem is 3 over 4 = 1 - 3x-2/x+1. I know I need to find a common denominator, which I think is 4(x+1). Am I

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need your help, please, on a linear equation involving fractions. My problem is 3 over 4 = 1 - 3x-2/x+1. I know I need to find a common denominator, which I think is 4(x+1). Am I      Log On


   



Question 205761: I need your help, please, on a linear equation involving fractions. My problem is 3 over 4 = 1 - 3x-2/x+1. I know I need to find a common denominator, which I think is 4(x+1). Am I right so far? I've done this problem 5 times and came up with 5 different answers. Help....
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
3%2F4+=+1-%283x-2%29%2F%28x%2B1%29 First, simplify the right side. LCD is (x+1).
3%2F4+=+%28%28x%2B1%29-%283x-2%29%29%2F%28x%2B1%29 Now apply the LCD of 4(x+1) to both sides.
3%28x%2B1%29%2F4%28x%2B1%29+=+4%28%28x%2B1%29-%283x-2%29%29%2F4%28x%2B1%29 Multiply both sides by 4(x+1) to clear the denominators.
3%28x%2B1%29+=+4%28%28x%2B1%29-%283x-2%29%29 Simplify.
3x%2B3+=+4x%2B4-12x%2B8
3x%2B3+=+-8x%2B12 Add 8x to both sides.
11x%2B3+=+12 Subtract 3 from both sides.
11x+=+9 Finally, divide both sides by 11.
highlight%28x+=+9%2F11%29