3x+1/3x-4=x-1/x+1,Solve the given equation.
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cross multiplication can solve this question easily
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Solution :
(3x+1)/(3x-4) = (x-1)/(x+1)
Doing cross multiplication , we get
=>(3x+1)(x+1)=(x-1)(3x-4)
=> 3x(x+1)+1(x+1)=x(3x-4)-1(3x-4)
=> 3x²+3x+x+1=3x²-4x-3x+4
=> 3x² + 4x + 1 = 3x² - 7x + 4
=> 3x² + 4x - 3x² + 7x = 4 - 1
=> 11x = 3
=> x = 3/11
••••
(3x+1)/(3x-4) = (x-1)/(x+1)
Doing cross multiplication , we get
=>(3x+1)(x+1)=(x-1)(3x-4)
=> 3x(x+1)+1(x+1)=x(3x-4)-1(3x-4)
=> 3x²+3x+x+1=3x²-4x-3x+4
=> 3x² + 4x + 1 = 3x² - 7x + 4
=> 3x² + 4x - 3x² + 7x = 4 - 1
=> 11x = 3
=> x = 3/11
••••
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