Math, asked by ongdenbhutia991, 7 months ago

solve the .
following equation : -
2x-3÷2x-1=3x-1÷3x+1​

Answers

Answered by AdyashaRay
1

Answer:

x = [ -5/3 ]

Step-by-step explanation:

2x - 3 ÷ 2x - 1 = 3x - 1 ÷ 3x + 1

=> [2x - 3] / [2x - 1] = [3x - 1] / [3x + 1]

=> [2x- 3] × [3x + 1] = [2x - 1] × [3x - 1]

=> 2x ( 3x + 1 ) - 3 ( 3x + 1 ) = 2x ( 3x - 1 ) - 1 ( 3x - 1 )

=> 6x² + 2x -9x - 3 = 6x² - 2x - 3x + 1

=> 6x² - 6x² + 2x + 2x - 9x + 3x = 1 + 4

=> 6x - 9x = 5

=> -3x = 5

=> 3x = (-5)

=> x = -5 / 3

=> x = -1.6666....

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