Math, asked by ayushmohanty1000, 10 days ago

Linear Equation ;-
 \frac{3x}{x + 6}  -  \frac{x}{x + 5}  = 2


No rubbish answer, give point to point answer.. Correct answer will get instant Brainlist ​

Answers

Answered by kelidevimeena39
2

Step-by-step explanation:

 \frac{3x}{x  + 6}  -  \frac{x}{x + 5}  = 2 \\  \frac{3x(x + 5) - x(x + 6) }{(x + 6)(x + 5)}  = 2 \\  \frac{3 {x}^{2} + 15x -  {x}^{2} - 6x  }{ {x}^{2} + 11x + 30 }  = 2 \\  \frac{2 {x}^{2}  + 9x}{ {x}^{2}  + 11x + 30}  = 2 \\ 2( {x}^{2}  + 11x + 30) = 2 {x}^{2}  + 9x \\ 2 {x}^{2}  + 22x + 60 = 2 {x}^{2}  + 9x \\ 2 {x }^{2}  - 2 {x}^{2}  + 22x - 9x + 60 = 0 \\ 13x + 60 = 0 \\ 13x =  - 60 \\ x =    - \frac{ 60}{13}

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