Question

one by X + 2 by 2 x minus 3 is equal to 1 by x minus 2 solve for x​

Answer 1

I hope this helps you...!!!

Answer 2

x=1 or x=3

Step-by-step explanation:

The given expression is below:

$\frac{1}{x}+\frac{2}{2x-3}=\frac{1}{x-2}$

$\Rightarrow \frac{2x-3+2x}{x(2x-3)}=\frac{1}{x-2}\\\\\Rightarrow \frac{4x-3}{x(2x-3)}=\frac{1}{x-2}$

Cross Multiply

$\Rightarrow (4x-3)(x-2)=x(2x-3)\\\\\Rightarrow 4x^{2} -8x-3x+6=2x^{2} -3x$

Now we will bring the like terms together.

$\Rightarrow 4x^{2} -2x^{2} -8x-3x+3x+6=0\\\\\Rightarrow 2x^{2} -8x+6=0$

Using factorization method

$\Rightarrow 2x^{2} -6x-2x+6=0\\\\\Rightarrow 2x(x-3)-2(x-3)=0\\\\\Rightarrow (2x-2)(x-3)=0\\\\\Rightarrow 2x-2=0\\\\\Rightarrow 2x=2\\\\\Rightarrow x=\frac{2}{2} \\\\\Rightarrow x=1\\\\or\\\\x-3=0\\\\\Rightarrow x=3$

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Solve X + 3 upon X + 2 is equal to 3 x minus 7 upon 2 x minus 3

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