SOLUTION: Solve: {{{4/x-1 + 6/3x+1 = 15/3x+1}}}

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Solve: {{{4/x-1 + 6/3x+1 = 15/3x+1}}}      Log On


   

Question 119463This question is from textbook Trigonometry
: Solve:
4%2Fx-1+%2B+6%2F3x%2B1+=+15%2F3x%2B1 This question is from textbook Trigonometry

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

%284%2F%28x-1%29%29+%2B+%286%2F%283x%2B1%29%29+=+%2815%2F%283x%2B1%29%29

Taking LCD, we get:

%284%283x+%2B+1%29+%2B+6%28x+-+1%29%29%2F%28x+-+1%29%283x+%2B+1%29 = %2815%2F%283x+%2B+1%29%29


%2812x+%2B+4+%2B+6x+-+6%29%2F%28x+-+1%29%283x+%2B+1%29 = %2815%2F%283x+%2B+1%29%29

%2818x+-+2%29%2F%28x+-+1%29%283x+%2B+1%29 = %2815%2F%283x+%2B+1%29%29


Cross - Multiply:

%28%2818x+-+2%29%283x+-+1%29%29%2F%28x+-+1%29%283x+%2B+1%29 = 15

%2818x+-+2%29+=+15%28x+-+1%29

18x - 2 = 15x - 15

18x - 15x = -15 + 2

3x = -13

x+=+-13%2F3

hence the solution